# The sum of first 16 terms of the AP: 10, 6, 2,... is ______. - Mathematics

MCQ
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The sum of first 16 terms of the AP: 10, 6, 2,... is ______.

• –320

• 320

• –352

• –400

#### Solution

The sum of first 16 terms of the AP: 10, 6, 2,... is –320.

Explanation:

Given, AP is 10, 6, 2,…

Here, first term a = 10

Common difference

d = – 4

∴ S_16 = 16/2 [2a + (16 - 1)d]   .......[because S_n = n/2 (2a + (n - 1)d}]

= 8[2 xx 10 + 15 (-4)]

= 8(20 - 60)

= 8(-40)

= – 320

Concept: Sum of First n Terms of an A.P.
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#### APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 5 Arithematic Progressions
Exercise 5.1 | Q 16 | Page 47
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