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
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Step-by-step explanation:
so there are 16 numbers....and sum is440
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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
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