Find the common difference of the arithmetic sequence.1. The third term of the sequence is 1.428.2. The first and the fifth terms of the sequence is 1 and 1.856.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'B'. Can you explain this answer?

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Find the common difference of the arithmetic sequence.
1. The third term of the sequence is 1.428.
2. The first and the fifth terms of the sequence is 1 and 1.856.

a)
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
b)
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
c)
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question ask
d)
EACH statement ALONE is sufficient to answer the question asked.
e)
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Correct answer is option 'B'. Can you explain this answer?

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Find the common difference of the arithmetic sequence.1. The third ter...

a_n = a + (n - 1)d
In statement 1, third term, a₃ = a + (3 - 1)d = 1.428; a + 2d =1.428.
This is one equation with two unknowns hence we cannot determine the value of d. The statement is not sufficient.
In statement 2, a = 1 and a₅ = a + (5 - 1)d = 1.856
Substituting for a, we have 1 + 4d = 1.856; d = 0.214.
The common difference is 0.214, therefore, the statement is sufficient.

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Most Upvoted Answer

Find the common difference of the arithmetic sequence.1. The third ter...

Statement (1) alone is sufficient, but statement (2) alone is not sufficient to answer the question asked.

Explanation:

Let's use the formula for the nth term of an arithmetic sequence to solve the problem:

an = a1 + (n-1)d

where:
an is the nth term of the sequence
a1 is the first term of the sequence
d is the common difference of the sequence
n is the number of terms in the sequence

Using statement (1):
The third term of the sequence is 1.428.

We can set n = 3 and an = 1.428 in the formula above to get:

1.428 = a1 + 2d

Using statement (2):
The first and the fifth terms of the sequence are 1 and 1.856.

We can set n = 1 and an = 1 in the formula above to get:

1 = a1

We can also set n = 5 and an = 1.856 in the formula above to get:

1.856 = a1 + 4d

However, we cannot solve for d using statement (2) alone because we have two equations with two variables (a1 and d) and we need another equation to solve for both variables.

Therefore, statement (1) alone is sufficient to solve for the common difference of the arithmetic sequence, but statement (2) alone is not sufficient. The correct answer is (B).

Answered by Talent Skill Learning · View profile

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Find the common difference of the arithmetic sequence.1. The third term of the sequence is 1.428.2. The first and the fifth terms of the sequence is 1 and 1.856.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'B'. Can you explain this answer?

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Find the common difference of the arithmetic sequence.1. The third term of the sequence is 1.428.2. The first and the fifth terms of the sequence is 1 and 1.856.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'B'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Find the common difference of the arithmetic sequence.1. The third term of the sequence is 1.428.2. The first and the fifth terms of the sequence is 1 and 1.856.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the common difference of the arithmetic sequence.1. The third term of the sequence is 1.428.2. The first and the fifth terms of the sequence is 1 and 1.856.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'B'. Can you explain this answer?.

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