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The first, second and seventh terms of A.P. are in G.P. and the common difference is 2, the 2nd term of A.P. is:?
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The first, second and seventh terms of A.P. are in G.P. and the common...
Given: First, second and seventh terms of A.P. are in G.P. and the common difference is 2.

To find: The second term of A.P.

Solution:

Let the first term of A.P be 'a' and the common difference be 'd'.

According to the question,

Second term of A.P = a + d

Seventh term of A.P = a + 6d

Also, the first, second, and seventh terms are in G.P.

Therefore, (a + d)^2 = (a)(a + 6d)

a^2 + 2ad + d^2 = a^2 + 6ad

4ad = d^2

d = 4a/3

Substituting this value of 'd' in the expression of the second term of A.P, we get:

Second term of A.P = a + (4a/3) = 7a/3

Therefore, the second term of A.P is 7a/3.

Answer: The second term of A.P is 7a/3.
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The first, second and seventh terms of A.P. are in G.P. and the common difference is 2, the 2nd term of A.P. is:?
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The first, second and seventh terms of A.P. are in G.P. and the common difference is 2, the 2nd term of A.P. is:? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The first, second and seventh terms of A.P. are in G.P. and the common difference is 2, the 2nd term of A.P. is:? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The first, second and seventh terms of A.P. are in G.P. and the common difference is 2, the 2nd term of A.P. is:?.
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