Answer:
Step-by-step explanation:
The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = 2
r = 14/2 = 7
To find T7,
n = 7
T7 = 2 × 7^(7 - 1)
T7 = 2 × 7^6
T7 = 235298
To find T20,
n = 20
T20 = 2 × 7^(20 - 1)
T7 = 2 × 7^19
T7 = 22797790370746286