A few days ago
Using the formula, find the tenth term and the n-term of the following sequence?
sequence- [1/4, 1, 4, 16…]
Formula- S(sub n) = {term (1-r^2)}/{1-r}
Top 1 Answers
A few days ago
Favorite Answer
I’m pretty sure the correct formula for the sum of the first n terms is really:
S(sub n) = {first term (1-r^n)}/{1-r}
But since you’re only looking for the tenth term, then we need the formula for the nth term, which is:
nth term = first term * r ^(n-1)
In the given sequence, the first term is 1/4 and the r (known as the common ratio) is 4. Note that r is the value you multiply to one term to get the next term. Therefore, the tenth term is:
= 1/4 * 4^(10-1)
= 1/4 * 4^9
= 65,532
Hope this helps.
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