Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The given series is a geometric series because the consecutive terms differ by a common ratio. The formula for determining the sum of the first n terms, Sn of a geometric sequence is expressed as
Sn = (ar^n - 1)/(r - 1)
Where
n represents the number of term in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
a = 3
r = 6/3 = 12/6 = 2
n = 15
Therefore, the sum of the first 15 terms, S15 is
S15 = (3 × 2^(15) - 1)/2 - 1
S15 = (3 × 32767)/1
S15 = 98301
Answer:
Volume of the triangular prism = 42 square in.
Step-by-step explanation:
Volume of a triangular prism = Area of the triangular base × Height
Area of the triangular base = [Since, given triangle is a right triangle]
=
= 6 square in.
Height of the prism = 7 in
Therefore, volume of the triangular prism = 6 × 7
= 42 square inch
Answer:
e
Step-by-step explanation:
e
Answer:
40
Step-by-step explanation:
40x5=200
200 divided by 5 =40