1 year ago

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

Mathematics

2 answers:

MA_775_DIABLO [31]1 year ago

8 0

Answer:

the 14th term in the sequence would be 81920.

Step-by-step 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.

vagabundo [1.1K]1 year ago

4 0

Answer:

81920

Step-by-step 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

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