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Find the sum of the following APs: 2, 7, 12, . . ., to 10 terms. - CBSE Class 10 - Mathematics

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Question

Find the sum of the following APs:

2, 7, 12, . . ., to 10 terms.

Solution

2, 7, 12 ,…, to 10 terms

For this A.P.,

a = 2

d = a2 − a1 = 7 − 2 = 5

n = 10

We know that,

Sn = `n/2 [2a + (n - 1) d]`

S10 = `10/2 [2(2) + (10 - 1) × 5]`

= 5[4 + (9) × (5)]

= 5 × 49 = 245

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 5: Arithmetic Progressions
Ex. 5.30 | Q: 1.1 | Page no. 112
Solution Find the sum of the following APs: 2, 7, 12, . . ., to 10 terms. Concept: Sum of First n Terms of an AP.
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