Write the first five terms of each of the sequences in whose nth terms are:


The nth term of the sequence is given as an= (-1)n-1 5n + 1


The first five terms of the sequence would be given by putting values of n as 1, 2, 3, 4 and 5


a1= (-1)1-1 51 + 1 = (-1)0 52 = 25 (∵ a0 =1)


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


∴ the first five terms of the sequence are 25, -125, 625, -3125 and 15625


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