NCERT Class XI Mathematics - Sequences and Series - Solutions
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Question : 5
Total: 106
Solution:
We have, a n = ( − 1 ) n − 1 5 n + 1
Substituting n = 1, 2, 3, 4, 5, we get
a 1 = ( − 1 ) 1 − 1 5 1 + 1 = ( − 1 ) 0 5 2 = 25 , a 2 = ( − 1 ) 2 − 1 5 2 + 1 = ( − 1 ) 1 5 3 = - 125
a 3 = ( − ) 3 − 1 5 3 + 1 = ( − 1 ) 2 5 4 = 625, a 4 = ( − 1 ) 4 − 1 5 + 1 = ( − 1 ) 3 5 3 = - 3125
a 5 = ( − 1 ) 5 − 1 5 5 + 1 = ( − 1 ) 4 5 6 = 15625
∴ The first five terms are 25, – 125, 625, –3125, 15625.
Substituting n = 1, 2, 3, 4, 5, we get
∴ The first five terms are 25, – 125, 625, –3125, 15625.
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