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Common Difference

Find the sum ...

Question

Find the sum of first 22 terms of an AP in which d = 7 and 22^nd term is 149.

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Solution

d = 7

a₂₂ = 149

S₂₂ = ?

a_n = a + (n − 1)d

a₂₂ = a + (22 − 1)d

149 = a + 21 × 7

149 = a + 147

a = 2

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