Question

the first and last term of an ap consisting 5 terms are 8 and 32 respectively then find the sum of arithmetic series​

Answer 1

Answer:

if a=8 and l= 32 then the sum is 100 . so the answer is 100

Answer 2

Answer:

Sum of AP is 100

Step-by-step explanation:

Fist Term, a =8

last term, l= An = 32

and there are 5 terms, n =5

We Know

An = a + (n–1)d

32 = 8 + (5–1)d

32–8 = 4d

=> 24/4 = d

=> d = 6

Now,

$s = (n \div 2)(2a + (n - 1)d) \\ s = (5 \div 2)(16 + 4 \times 6) \\ s = (5 \div 2)(16 + 24) \\ s = (5 \div 2)(40) \\ s = 5 \times 20 \\ s = 100$

Hope you got the answer. :)