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Which term of the AP 2, 11, 20, 29…… is 290?(a) 32(b) 35(c) 30(d) 33I had been asked this question in an interview for internship.My question is taken from Arithmetic Progression Basics in division Arithmetic Progressions of Mathematics – Class 10

Answer» CORRECT choice is (d) 33

For explanation I WOULD say: Here a = 2 and d = 11 – 2 = 9

Let the given AP contain n terms.

Tn = 290

a + (n – 1)d = 290

2 + (n – 1)9 = 290

2 + 9N – 9 = 290

9n = 297

n = 33

Thus, the 33 term of the AP is 290.


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