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Find the number of terms in the following AP: 7, 13, 19…., 205

Posted by Ak18 Ak18 5 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 5 years, 5 months ago

7,13,19........,205

Consider,

t_n = 205

t_n = a + (n - 1) d = 205 where a = 7 and d = 13 - 7 = 6

7 + (n - 1) × 6 = 205

6(n - 1) = 198

n - 1 = 33

n = 34

Hence, the number of terms in the given sequence are 34.

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