The sum of the first five terms of the geometric series 8, -24, 72..... is 488 ⇒ answer B
Step-by-step explanation:
In the geometric series:
- There is a constant ratio " r " between each two consecutive terms
- The nth term is , where a is the 1st term
- The sum of nth terms is
∵ 8 , -24 , 72 , ........ is a geometric series
∵
∵ = 8
∵ = -24
∴
∴ r = -3
∵ The sum of the nth terms is
- We need the sum of the first 5 terms, then n is 5
∵ n = 5 , a = 8 , r = -3
- Substitute these values in the rule of the sum
∴
∴
∴
∴
∴
The sum of the first five terms of the geometric series 8, -24, 72..... is 488
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1 1/9 + 3 5/8 is 4 53/72.
My reason is you must equalize 1 1/9 to 1 8/72.
Then equalize 3 5/8 to 3 45/72.
Now add them together and do not add the denominators. Add the numerators, and the whole numbers. Simplifying is unnecessary. The answer should be <u>4 53/72</u>.
Answer:
∠ 1 = 124°, ∠ 2 = 98°, ∠ 3 = 82°, ∠ 4 = 124°, ∠ 5 = 98°
Step-by-step explanation:
See the given diagram.
Since ∠ 1 + 56° = 180°, ⇒ ∠ 1 = 124°
Now, 56° + 26° + ∠ 2 = 180°, ⇒ ∠ 2 = 98°
Now, ∠ 2 + ∠ 3 = 180°, ⇒ ∠ 3 = 180° - 98° = 82°
Again, ∠ 5 + 82° = 180°, ⇒ ∠ 5 = 98°
And, ∠ 4 = 26° + ∠ 5 = 26° + 98° = 124° (Answer)
Answer:
Step-by-step explanation:
m =