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Sagot :
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 = 5 or 100/20 = 5
Geometric term formula:
aₙ = a₁(r)ⁿ⁻¹ [where a1 is the 1st term, r is common difference]
insert values found
aₙ = 4(5)ⁿ⁻¹ ......this is the nth term.
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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