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

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

Concept: Sum of First n Terms of an AP
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#### APPEARS IN

NCERT Class 10 Maths
Chapter 5 Arithmetic Progressions
Exercise 5.3 | Q 1.1 | Page 112