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OleMash [197]
3 years ago
13

If the first 4 terms of a geometric sequence are {7, 21, 63, 189), then the formula for the nth term in the sequence is?

Mathematics
1 answer:
34kurt3 years ago
7 0

Answer: 7 × ( 3^n - 1 )

Step-by-step explanation:

This is a geometric progression which has its nth term to be

Tn = ar^n- 1. Now from the question given, the sequence are 7, 21, 63, 189. This is an example of a finite sequence, To find the common ratio, you divide the second term by the first term. So

r = 21/7

= 3. , a = 7

Now to find the nth term put the values in the formula above.

Tn =ar^n-1

= 7(3)^n - 1)

= 7 × ( 3^n - 1 ).

Note, it is not 21^n - 1.

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You know that a perfect square trinomial is given by square of first term, twice the product of first and last terms and square of second term

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So your answer would be 1

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3 0
3 years ago
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8 0
3 years ago
I need help please ​
WITCHER [35]

Answer:

358in

Step-by-step explanation:

Use CAH or Cos()=(adj/hyp)

So Cos(36)=(290/h)

Re-Write the equation as h=(290/cos(36)) to get 358 inches

5 0
2 years ago
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Answer:

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