rileymcclung1 rileymcclung1

17-02-2020
Mathematics

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find the exact value of the eighth term of the geometric sequence: 648,216,72,24

find the exact value of the eighth term of the geometric sequence 6482167224 class=

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bhuvna789456 bhuvna789456

17-02-2020

8th term is 0.30

Step-by-step explanation:

Step 1: nth term of a GP = a × r^n-1

Step 2: Find r.

⇒ r = a2/a1 = 216/648 = 1/3

Step 3: Calculate 8th term. a = 648, r = 1/3 and n = 8

⇒ 8th term = 648 × (1/3)^8-1 = 648 × (1/3)^7 = 648/2187 = 0.30

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