Answer:
Option B - What sequence is geometric?
B. 10, 7.5, 5.625, …True Geometric Sequence
Explanation:
What sequence is geometric?
A. 13, 16.5, 20, …
B. 10, 7.5, 5.625, …
C. 5, 5.5, 5.55, …
D. 16, 17.1, 18.2, …
Step-by-step solution:
Data:
a1 = 10 , r = 7.5000 , n = 3
an = a1 r n-1 --- (i)
Solution:
Now putting values in eq (i)
a3 = (10) (7.5000) 3-1
a3 = (10) (7.5000) 2
a3 = (10) (56.250)
a3 = 562.50
Now Finding the sum of the Geometric Series
a1 + a2 + a3 + ... + an
= 10 + 75 + 562.5
= 647.5
Result
Nth term value
562.50
Geometric Sum
647.5
Geometric Sequence
10, 7.5, 5.625
Hope it helps!