If the first 4 terms of an infinite geometric sequence are 150, 120, 96, and 76.8, then the sum of all the terms in the sequence
1 answer:
The sum of the sequence is 750
<h3>How to determine the sum of the series?</h3>The series is given as:
150, 120, 96, and 76.8,
Start by calculating the common ratio using:
r = T2/T1
This gives
r = 120/150
r = 0.8
The sum of the series is then calculated as:
This gives
Evaluate
S = 750
Hence, the sum of the sequence is 750
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The value of the angle ∠x will be ∠x = 128°. Then the correct option is C.
<h3>What is the triangle?</h3>A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The triangle is given below.
The sum of the two interior angle is equal to the third exterior angle.
m∠x = (198 − 5n)°
m∠y = (5n + 37)°
m∠z = (n + 7)°
We know that
∠x = ∠y + ∠z
198 - 5n = 5n + 37 + n + 7
11n = 154
n = 14
Then the value of the angle ∠x will be
∠x = 198 – 5 × 14
∠x = 128°
Then the correct option is C.
The complete question is given below.
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