In an arithmetic sequence, the first term is -8 and the sun of the first 20 term is 790. Find the common difference

Answer:

a=-8,s20=790

Step-by-step explanation:

s20=10[-16+19xd]

790/10=-16+19d

79+16=19d

85=19d

d=85/19=5

The common difference of the given arithmetic sequence is 5.

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

Natural number = 1,2,3,4,5,6,7,8...

Now it has the same difference between any two consecutive terms d =2-1 = 3-2

Given that,

First term a₁ = -8

Sum of first 20 terms = 790

Sum of the first N term is given by ;

⇒ N/2[2a + (n - 1)d]

So,

20/2[2(-8) + (20 - 1)d] = 790

10[-16 + 19d] = 790

19d - 16 = 79

19d = 95

d = 5

Hence "The common difference of the given arithmetic sequence is 5".

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