Question

the sum of first 100 terms of an arithmetic sequence defined by expression 5n+3 is

Answer 1

Answer:

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Answer 2

Answer:

Sum of first 100 terms is 25550

Step-by-step explanation:

aₙ=5n+3

a₁=5(1)+3=8

a₂=5(2)+3=13

a₃=5(3)+3=18

First term a=8

Common difference d=13-8=5

We know that Sₙ=$\frac{n}{2} (2a+(n-1)d)$

Sum of first 100 terms can be given by

S₁₀₀=$\frac{100}{2} (2(8)+99(5))$

     =50(16+495)

     =50(511)

     =25550

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