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vichka [17]
1 year ago
14

What is the recursive formula of the geometric sequence? 1, 5, 25, 125, 625, ...

Mathematics
1 answer:
Ilia_Sergeevich [38]1 year ago
4 0

The recursive formula of the geometric sequence is given by option D; an = (1) × (5)^(n - 1) for n ≥ 1

<h3>How to determine recursive formula of a geometric sequence?</h3>

Given: 1, 5, 25, 125, 625, ...

  • first term, a = 1

  • Common ratio, r = 25/5

= 5

  • n = number of terms

an = a × r^(n - 1)

= 1 × 5^(n - 1)

an = (1) × (5)^(n - 1) for n ≥ 1

Learn more about recursive formula of geometric sequence:

brainly.com/question/10802330

#SPJ1

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tom had a platter of chocolate wafers. he ate 5 of them and then gave his brother 3 he then moved on to his baseball team of 8 m
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Tom started with total 72 chocolate wafers.

<u><em>Explanation</em></u>

The number of chocolate wafers taken by 8 members of the baseball team are in the sequence :  1, 3,5,7,9,11,13,15

The above sequence is <u>arithmetic sequence</u> with first term(a₁)= 1 and common difference (d) = 2

<u>Formula for Sum</u> of first n terms in arithmetic sequence is....

S_{n}= \frac{n}{2}[2a_{1}+(n-1)d]

So, the Sum of 8 terms in that sequence....

S_{8}= \frac{8}{2}[2(1)+(8-1)(2)]\\ \\ S_{8}= 4[2+7(2)]\\ \\ S_{8}=4(2+14)\\ \\ S_{8}=4(16)=64

That means, the total number of chocolate wafers taken by the baseball team members is 64.  Tom ate 5 and then gave his brother 3 chocolate wafers at first.

So, the total number of chocolate wafers at starting =64+5+3=72

6 0
3 years ago
SOMEONE QUICKLY DO THIS PLEASE!!!
AlekseyPX

Answer:

its d

Step-by-step explanation:

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