Q. 5

Write the first five terms of each of the sequences. whose nth terms are an = (-1)n-1 5n+1



Answer :


an = (-1)n-1 5n+1

Substituting n = 1, 2, 3, 4 and 5 we get

a1 = (-1)1-1 51+1= (-1)0 52 = 25

a2 = (-1)2-1 52+1= (-1)1 53 = -125

a3 = (-1)3-1 53+1= (-1)2 54 = 625

a4 = (-1)4-1 54+1= (-1)3 55 = -3125

a5= (-1)5-1 55+1= (-1)4 56 = 15625

Therefore the first term is 25, -125, 625, -3125 and 15625.

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