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sertanlavr [38]
2 years ago
14

help 14 points the image 2 is the answer choices the answer answer choices for all the questions help plz

Mathematics
1 answer:
Sindrei [870]2 years ago
3 0
Can’t see questions
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Determine whether the sequence converges or diverges. If it converges, give the limit.
vaieri [72.5K]

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

\lim_{n \to \infty} 108*(-1/6)^n \\= 108*(-1/6)^\infty \\= 108*(1/\infty) \\= 108*0 \\= 0

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

7 0
3 years ago
If the diagonal of the square is 13 units long, how long is each side of the square to the nearest tenth?
dolphi86 [110]

Answer:

sqrt. of 84.5

7 0
3 years ago
Read 2 more answers
X2 – 11x + 5 = -2x<br> Solve equation to the nearest tenth
Nataly [62]

Answer:

x = 5/7 -> 0.714285 which to the nearest tenth would be 0.7

Step-by-step explanation:

is it x*2 or x^2?

If it were x to the power of two, then the answer would be about x1 = 0.594875 and x2 = 8.40512

7 0
3 years ago
How many rational numbers are between 1 and 6?
gregori [183]

one ans six are infinite

6 0
3 years ago
El ruedo de la plaza de toros "Las Ventas", de
Ksju [112]

Answer:

mention any one contribution of maiti nepal

4 0
2 years ago
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