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stira [4]
4 years ago
15

​ a(1)= 3 5 ​ a(n)=a(n−1)⋅(−9) ​ What is the 3^{\text{rd}}3 rd 3, start superscript, start text, r, d, end text, end superscript

term in the sequence?
Mathematics
1 answer:
frosja888 [35]4 years ago
8 0

Answer: -630

Step-by-step explanation:

Given the nth term of a sequence;

​a(n)=a(n−1)⋅(−9) and the first term of the sequence a(1) as 35, the third term of the sequence can be gotten by using the formula at when n = 3

If n = 3 and a(1) = 35;

a(3) = 35(3-1)•(-9)

a(3) = 35×2×-9

a(3) = 70×-9

a(3) = -630

There the 3rd term of the series will give us -630 according to the nth term of the formula given.

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150 units

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8 0
3 years ago
A swimming pool is in the shape of a right triangle. One leg has a length of 10 feet and one leg has a length of 15 feet. Estima
sasho [114]

Answer:

5√13 = c  OR 18. 0

Step-by-step explanation:

Using the Pyhtagorean Theorem, we will solve for x (in this case our hypothenuse)

a2 + b2 = c2

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100 + 225 = c2

325= c2

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5√13 = c  OR 18. 0

5 0
4 years ago
Find the 15th term of the geometric sequence 180, 90, 45,...
denis23 [38]

Answer:

\frac{45}{4096}

Step-by-step explanation:

1) q=90/180=45/90=...=1/2;

2) the formula of the n-th term of the given sequence is:

a_n=a_1*q^{n-1};

3) according to the formula 15th term is:

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or ≈0.011.

7 0
3 years ago
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