3 years ago

No clue what to do. show all steps too please. thanks. HELP DUE NOW!!!

1 answer:

4 0

An isosceles triangle has two equal sides.
a= one equal side
b=base

b+2a=35
a=b+4
b+ 2(b+4)=35
b+2b+8=35
3b+8=35
3b=27
b=9
a=13

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Answer:

The given series converges and $\lim_{n \to \infty} a_n =0$

Step-by-step explanation:

Given is 108, -18, 3,...

It is an alternate series. An alternate series is convergent if:

1. The series is decreasing.

2. If the last term (n-th term) of series converges to 0.

<u>Since each next term is less than its preceding term, so it is decreasing.</u>

First term, a = 108

Second term = -18

Common ratio, r = -18/108 = -1/6

General term, aₙ = a*rⁿ = 108*(-1/6)ⁿ

<u>When n increases to infinity, the exponent term will decreases to zero, and last term (n-th term) will converge to 0 as well.</u>

Hence, the given series converges.

Now limit will be: $\lim_{n \to \infty} a_n$

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Hence, $\lim_{n \to \infty} a_n =0$

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