मराठी

Which term of the A.P. −29, −26, −23, ....., 61 is 16? - Mathematics

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प्रश्न

Which term of the A.P. −29, −26, −23, ....., 61 is 16?

पर्याय

  • 11th

  • 16th

  • 10th

  • 31th

MCQ

उत्तर

16th

Explanation:

Given

a = −29

d = −26 − (−29)

d = −26 + 29

d = 3

an = 16

Here we know

an = a + (n −1) d

⇒ 16 = −29 + (n − 1) 3

⇒ `(16 + 29)/3 = n − 1`

⇒ 15 = n − 1

∴ n = 16

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