Question

An AP has first term as 5 and common difference as 3 if the last term is 50 find the number of terms and also find the sum of terms

Answer 1

Step-by-step explanation:

so there are 16 numbers....and sum is440

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Answer 2

Answer:

n=16

Sn=440

Step-by-step explanation:

given

a=5, d=3, tn=50, n=?

we have,

tn=a+(n-1)d

50=5+(n-1)3

50=5+3n-3

50=3n+2

50-2=3n

48=3n

n=48/3

n=16

Sn=n/2(2a+(n-1)d)

S16=16/2(2×5+(16-1)3)

S16=8×10+(15)3

S16=8×10+45

S16=8×55

S16=440