Question:
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.
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.
Updated On: Oct 19, 2023
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Solution and Explanation
a1 = a2 = 2, an = an-1 -1, n > 2
⇒ a3 = a2 - 1 = 2 - 1 = 1
a4 = a3 - 1 = 1-1 = 0
a5 = a4 - 1 = 0 - 1 = -1 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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