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  • 01-04-2020
  • Mathematics
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Use your formula from question 2c to find the values of t7 and t20. (r=7; 2,14,98,686)​ (Geometric Sequence)

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  • 01-04-2020

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

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