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Directions: Following question is a numeric ability questions.
a1, a2, a3, . . . , an, . . .
Q. In the sequence above, each term after the first term is equal to the preceding term plus the constant c. If a1 + a3 + a5 = 27, what is the value of a2 + a4?
Correct answer is '18'. Can you explain this answer?
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Directions: Following question is a numeric ability questions.a1, a2,...
Note that answering this question requires information only about the first five terms of the sequence. So it is a good idea to work with the relationships among these five terms to see what is happening.
Since you are given that in this sequence each term after a1 is c greater than the previous term, you can rewrite the first five terms of the sequence in terms of a1 and c as follows.
a2 = a1 + c
a3 = a2 + c = a1 + 2c
a4 = a1 + 3c
a5 = a1 + 4c
From the question, you know that a1 + a3 + a5 = 27, and from the equations above, a1 + a3 + a5 = a1 + (a1 + 2c) + (a1 + 4c) = 3a1 + 6c. So you can conclude that 3a1 + 6c = 27, or a1 + 2c = 9
To find a2 + a4, you can express a2 and a4 in terms of a1 and c and simplify as follows.
a2 + a4 = (a1 + c) + (a1 + 3c)
= 2a1 + 4c
= 2(a1 + 2c)
But, a1 + 2c = 9, so a2 + a4 = 2(9) = 18. The correct answer is 18.
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Directions: Following question is a numeric ability questions.a1, a2, a3, . . . , an, . . .Q. In the sequence above, each term after the first term is equal to the preceding term plus the constant c. If a1 + a3 + a5 = 27, what is the value of a2 + a4?Correct answer is '18'. Can you explain this answer?
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