Write the first five terms of the following sequence and obtain the corresponding series:

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Solution

Hence, the first five terms of the sequence are 2, 2, 1, 0, and –1.

The corresponding series is 2 + 2 + 1 + 0 + (–1) + …

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Similar questions

Write the first five terms of the following sequence and obtain the corresponding series:

a_{1} = a_{2} = 2, a_{n} = a_{n - 1} - 1, n > 2

a_{1} = a_{2} = 2, a_{n} = a_{n - 1} - 1, n > 2

Write the first five terms of each of the sequence and obtain the corresponding series :

$a_{1} = 3, a_{n} = 3 a_{n - 1} + 2 for all n > 1$

a_{1} = - 1, a_{n} = \frac{a_{n - 1}}{n}, n \geq 2

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