Answer:
The explicit formula for the given expression is 2 n - 3
Step-by-step explanation:
Here, the first term of sequence = -1
The common difference = 2
In a ARITHMETIC PROGRESSION:
The nth term of a sequence is given as
a(n) = a + (n-1) d
⇒ Here, a(n) = -1 + (n-1)(2)
= -1 + 2n -2
= 2n - 3
or, a(n) = 2n - 3
Hence, the explicit formula for the given expression is 2n - 3.
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Given that

, we have for

the Taylor series expansion about 0 as

Replace

with

, so that the series is equivalent to

and notice that

Recall that for

, we have

which means
