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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If a1,a2,a3,….ana_{1}, a_{2}, a_{3}, \ldots . a_{n} are in A.P. and a1+a4+a7+…+a16=114a_{1}+a_{4}+a_{7}+\ldots+a_{16}=114, then a1+a6+a11+a16a_{1}+a_{6}+a_{11}+a_{16} is equal to:
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Correct option: B
76
Option B (76) is correct because the sum a_1 + a_6 + a_11 + a_16 can be expressed in terms of a_1 + a_16, which is derived from the given equation.

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