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2 years ago

The sum of the first 15 terms of a geometric sequence with 7 as the first term and a common ratio of -3 is __________.

Mathematics

1 answer:

Andre45 [30]2 years ago

4 0

Step-by-step explanation:

the formula for the sum of the first n terms of a geometric sequence is

Sn = s1(1 - r^n)/(1 - r)

with r being the common ratio and s1 is the first term.

so,

S15 = 7×(1 - (-3)¹⁵)/(1 - -3) = 7×(1 - -14,348,907)/4 =

= 7×14,348,908/4 = 7×3,587,227 = 25,110,589

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what is the factored form of the linear expression 4x+14 Ill give Brainly Award Comments, Thanks, and a 5-star rating

Gnesinka [82]

Answer:

$2(2x+7)$

Step-by-step explanation:

we have

$4x+14$

we know that

$4=2^2=(2)(2)\\14=(2)(7)$

substitute

$(2)(2)x+(2)(7)$

Factor 2

$2[(2)x+(7)]$

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3 years ago

Bobby is 28cm shorter than Daniel. Roy is 19 cm taller than Daniel. Find the difference in height between Roy and Bobby.

Tcecarenko [31]

Answer:

There is a 47cm difference between the two....

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Step-by-step explanation:

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2 years ago

The probability that a certain hockey team will win any given game is 0.3723 based on their 13 year win history of 385 wins out

Whitepunk [10]

Answer:

0.1505 = 15.05% probability that the hockey team wins 6 games in November

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the team wins, or it does not. The probability of winning a game is independent of winning other games. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

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In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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And p is the probability of X happening.

The probability that a certain hockey team will win any given game is 0.3723

So $p = 0.3723$

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So $n = 12$

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This is $P(X = 6)$

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2 years ago

Find the sixth term of the geometric sequence when a4=−8 and r=0.5

grandymaker [24]

Answer:

Step-by-step explanation:

to find a term in the sequence multiply the previous term by r , then

a₄ = - 8 , so

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2 years ago

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ipn [44]

Answer:

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3 years ago