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xeze [42]
3 years ago
7

PLEASE HELP!!! Calculate S12 for the geometric series 4 + 10 + 25 + ...

Mathematics
2 answers:
bezimeni [28]3 years ago
8 0

Answer:

A. 158,943.053

Step-by-step explanation:

notsponge [240]3 years ago
4 0

Answer: sum of the first 12 terms is

158944

Step-by-step explanation:

In a geometric series, successive terms differ by a common ratio. The formula for the sum of n terms, Sn in a geometric sequence is expressed as

Sn = a(r^n - 1)/(r - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of the terms in the sequence.

From the information given, we want to determine S12, so

n = 12

a = 4

r = 10/4 = 25/10 = 2.5

S12 = 4(2.5^12 - 1)/(2.5 - 1)

S12 = 4(59605 - 1)/1.5

S12 = (4×59604)/1.5

S12 =238416/1.5 = 158944

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Solve #1 pls, I need to find the shortest side, median side, and longest side
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Answer:

Shortest side = 39 cm.

Median side = 65 cm.

Longest side = 91 cm.

Step-by-step explanation:

The perimeter in total is 195 cm. The ratio of the sides are 3 : 5 : 7.

First, find how much parts there are as a whole, by combining the ratios:

3 + 5 + 7 = 15 parts.

Divide the total of parts from the total measurement:

195/15 = 13

Each part has the measurement of 13 cm.

1 part = 13 cm.

Use the following ratio to solve for each of the sides:

Shortest side: 3

3 x 13 = 39

Shortest side = 39 cm.

Median side: 5

5 x 13 = 65

Median side = 65 cm.

Longest side: 7

7 x 13 = 91

Longest side = 91 cm.

Check. Combine all side measurements together. They should equal 195:

39 + 65 + 91 = 195

(39 + 65) + 91 = 195

(104) + 91 = 195

195 = 195 (True).

~

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4 years ago
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