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  • Write the first five terms of each of the sequences in Exercises 11 to 13 and obtain the corresponding series:a1 = a2 = 2, an = an – 1–1, n > 2

13.  Write the first five terms of each of the sequences in Exercises 11 to 13 and obtain the corresponding series: a_1 = a_2 = 2, a_n = a_{n - 1}-1, n > 2

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Given : a_1 = a_2 = 2, a_n = a_{n - 1}-1, n > 2

a_3 = a_{3 - 1}-1=a_2-1=2-1=1

a_4 = a_{4 - 1}-1=a_3-1=1-1=0

a_5 = a_{5 - 1}-1=a_4-1=0-1=-1

Hence, five terms of series are 2,2,1,0,-1

Series =2+2+1+0+(-1)+..................

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seema garhwal

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