Question

समांतर श्रेणी 4,9,14,19... का कौन-सा पद 109 है?​

Answer 1

109th term of given AP is 544.

it is given,

4 , 9, 14 , 19,..... are in Arithmetic progression.

common ratio of Arithmetic progression, d = 9 - 4 = 5

first term of the arithmetic progression, a = 4

using formula, Tn = a + (n - 1)d

where Tn is nth term.

so, 109th term = 4 + (109 - 1) × 5

= 4 + 108 × 5

= 4 + 540

= 544

hence, 109th term of given AP is 544.

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