Question

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

Answer 1

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.

Answer 2

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