Find the 7th term of the geometric sequence1/8, 1/2, 2, ...
1 answer:
Answer:
512
Explanation:
Given sequence:
1/8, 1/2, 2, ...
Unknown:
The 7th term of the geometric sequence = ?
Solution:
To solve this problem, we apply the formula below;
Sₙ = arⁿ⁻¹
a is the first term
r is the common ratio
n is the nth term
r = =
= 4
Input the parameters and solve;
Sₙ = x 4⁷⁻¹
Sₙ = x 4⁶ = 512
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A rocket ship is accelerated by the SRB and the main engines for 2.0 minutes and the main engines for 8.5 minutes after the launch. The acceleration of the ship during the first 2.0 minutes is 11 m/s² (D).
A rocket ship has several engines and thrusters. We can divide its initial movement into 2 parts:
- From t = 0 min to t = 2.0 min, the SRB and the main engines act together and the speed goes from 0 m/s (rest) to 1341 m/s.
- From t = 2.0 min to t = 8.5 min, the main engines alone accelerate the ship form 1341 m/s to 7600 m/s.
We want to know the acceleration in the first part (first 2.0 minutes). We need to consider that:
- The speed increases from 0 m/s to 1341 m/s.
- The time elpased is 2.0 min.
- 1 min = 60 s.
The acceleration of the ship during the first 2.0 minutes is:
A rocket ship is accelerated by the SRB and the main engines for 2.0 minutes and the main engines for 8.5 minutes after the launch. The acceleration of the ship during the first 2.0 minutes is 11 m/s² (D).
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