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Write the first five terms of the sequences whose nth term is: an=(-1)n-15n+1 - Mathematics

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प्रश्न

Write the first five terms of the sequences whose nth term is:

an=(-1)n-15n+1

बेरीज

उत्तर

an = (−1)n−1 5n+1  

Substituting n = 1, 2, 3, 4, 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

The first five terms are 25, −125, 625, −3125, 15625.

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पाठ 9: Sequences and Series - Exercise 9.1 [पृष्ठ १८०]

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एनसीईआरटी Mathematics [English] Class 11
पाठ 9 Sequences and Series
Exercise 9.1 | Q 5 | पृष्ठ १८०
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