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11Alexandr11 [23.1K]
2 years ago
5

Write an explicit formula for an, the nth term of the sequence 4, 20,100. WILL GET BRAINLIEST!!!!!​

Mathematics
2 answers:
anygoal [31]2 years ago
5 0

Answer:

aₙ = 4(5)ⁿ⁻¹

Explanation:

To identify a geometric series: second term = √(first term * third term)

Here given:

  • 1st term: 4
  • 2nd term: 20
  • 3rd term: 100

check ============

20 = √(100*4)

20 = √400

20 = 20  Hence its a geometric term.

Find common difference (r):

20/4 = <u>5</u>       or     100/20 = <u>5</u>

Geometric term formula:
aₙ = a₁(r)ⁿ⁻¹               [where a1 is the 1st term, r is common difference]

<u>insert values found</u>

aₙ = 4(5)ⁿ⁻¹ ......this is the nth term.

Ganezh [65]2 years ago
3 0

4,20,100

  • First term=a=4

Common ratio

  • r=20/4=5

Now

explicit formula

  • a_n=ar^{n-1}
  • a_n=4(5)^{n-1}
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