The sum of the first eight terms of the geometric sequence whose first term is -2.5 and ratio is 2 is: -637.5
The nth term of a geometric sequence is given mathematically as;
T(n) = ar^n
- where, a = first term of the geometric sequence.
- r = common ratio of the sequence
- and n = nth term of the sequence.
Therefore, the sum of the first 8 terms of the geometric sequence is;
- <em>S(8) = a + ar + ar² + ar³ + ar⁴ + ar⁵ + ar⁶ + ar⁷.</em>
In essence;
- since common ratio, r = 2
Therefore, we have;
- S(8) = -2.5(1 + 2 + 2² + 2³ + 2⁴ + 2⁵ + 2⁶ + 2⁷)
S(8) = -637.5.
Therefore, the sum of the first eight terms of the <em>geometric sequence</em> whose first term is -2.5 and ratio is 2 is: -637.5
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The correct answer is 2/5 because it is the simplest form of 16/40. Hope this helps.
The video game is on 35% discount.
Step-by-step explanation:
Cost of video game = $50
Price on sale = $32.50
Amount of discount = Original price - price on sale
Percentage = 
The video game is on 35% discount.
Keywords: Percentage
Learn more about percentages at:
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Answer:
Red apples to all apples =2/11
Red apples to green apples =2/9
Step-by-step explanation:
There are 11 total apples 9 of them are green and the rest are red so there are 11-9=2 red apples
The ratio of red apples to all apples = number of red apples ÷ total apples number = 2÷11
The ratio of red apples to green apples = number of red apples ÷ number of green apples = 2÷9
A24 = 141,
using equation,
an = a1 + (n-1)d,
a8 = a + 7d = 45
a16 = a + 15d = 93
solve simultaneously for values a and d, where a = 3, and d = 6.
therefore, inserting values into a24 eqn, where
a24 = 3 + (24-1)(6) = 141.
