# If the first term of an AP is –5 and the common difference is 2, then the sum of the first 6 terms is ______. - Mathematics

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If the first term of an AP is –5 and the common difference is 2, then the sum of the first 6 terms is ______.

• 0

• 5

• 6

• 15

#### Solution

If the first term of an AP is –5 and the common difference is 2, then the sum of the first 6 terms is 0.

Explanation:

Given, a = -5 and d = -2

∴ S_6 = 6/2 [2a + (6 - 1)d]  .......[because  S_n = n/2 (2a + (n - 1)d)]

= 3[2(-5) + 5(2)]

= 3(-10 + 10)

= 0

Concept: Arithmetic Progression
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#### APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 5 Arithematic Progressions
Exercise 5.1 | Q 15 | Page 46
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