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11 votes
Find the 14 term of the following geometric sequence.
10, 20, 40, 80,

User Kindrobot
by
7.4k points

2 Answers

10 votes

Answer:

the 14th term in the sequence would be 81920.

Explanation:

because you are multiplying by 2 each time to find the next multiply 80 by 2 giving you 160 again giving you 320 again giving you 640 than 1280 , 2560 ,5120 ,10240 ,20480 ,40960 ,finally the 14th number in the sequence multiplying 40960 by 2 would give you your answer of 81920.

User Samuel Stiles
by
8.6k points
4 votes

Answer:

81920

Explanation:

Finding the common ratio (r) :

  • 20/10
  • 2

Finding the 14th term :

  • a₁₄ = ar¹⁴⁻¹
  • a₁₄ = ar¹³
  • a₁₄ = (10)(2)¹³
  • a₁₄ = (10)(8192)
  • a₁₄ = 81920
User Seybo Glaux
by
8.5k points

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