Question

given a=5,d=3,αn=50.Then the value of n___​

Answer 1

Answer:

Correct option is

C

440

As we know nth term, an=a+(n−1)d 

& Sum of first n terms,  Sn=2n(2a+(n−1)d), where a & d are the first term amd common difference of an AP.

Given, a=5,d=3,an=50

⇒a+(n−1)d=50

⇒5+(n−1)3=50

⇒5+3n−3=50⇒3n=48⇒n=16

∴S16=216[2a+(16−1)d]=8[2×5+15×3]=440

Hence, n=16,S16=440

Answer 2

Step-by-step explanation:

FROM THE FORMULA

An = A + (N-1)D

50 =5+(N-1)3

50-5=(N-1)3

45 = (N-1)3

45/3=N-1

15=N-1

N=15+1

N=16

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