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give the arithmetic sequence of 5 terms if the the first term is 8 and the last term is 100?


Sagot :

Answer:

The formula of nth term arithmetic sequence is An=A1+(n-1)d.

Where "An" is nth term of sequence

A1 is first term

d is common difference.

Sol. Finding common difference

An= A1 + (n-1)d

A5=A1 + (5–1)d

100 = 8 + 4d (Since the sequence is of 5 terms and last term is 100)

92=4d

d=23

So the sequence would be, a, a+d, a+2d, a+3d, a+4d

Answer is 8, 31, 54, 77, 100