Math, asked by kartikkasarapu10, 2 months ago

5.Find the 14th term of an A.P such that the 10th term of the A.P is 25 and 18th term is 41. answer send in. a pic​

Answers

Answered by dikshitaboruah3
2

Answer:

33

Step-by-step explanation:

Given,

a10 = a+9d = 25 - (1)

a18 = a+17d = 41 - (2)

(2) - (1)

a+17d =41

a+9d = 25

__________

8d = 16

=> d = 2

From equation (1) :- a = 25 - 9×2

= 25 - 18 = 7

Hence, a14 = a+ 13d = 7 + 13×2 = 33

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