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The sum of first 16 terms of the AP 10, ...

The sum of first 16 terms of the AP 10, 6, 2, … is

A

-320

B

320

C

-352

D

-400

Text Solution

Verified by Experts

The correct Answer is:
A
Given, AP is 10, 6, 2, …..
Here first term `a = 10`, common difference, `d = -4 `
` :. S_(6)=(16)/(2)[2a+(16-1)d] " " [ :' S_(n)=(n)/(2){2a+(n-1)d}]`
` " " =8[2xx10+15(-4)]`
` " " =8(20-60)=8(-40)= -320`
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NCERT EXEMPLAR-ARITHMETIC PROGRESSIONS-Arithmetic Progressions
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