Question

-\dfrac{16}{5},8,-20,− 5 16 ​ ,8,−20,minus, start fraction, 16, divided by, 5, end fraction, comma, 8, comma, minus, 20, comma

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

50

Step-by-step explanation:

Correct question

-16/5, 8, -20. What is the next term of the geometric sequence.

The nth term of a geometric sequence is expressed as:

Tn = ar^n-1

From the sequence:

a is the first term = -16/5

n is the number of term = 4(since next term is 4th term

r is the common ratio = (8)÷(-16/5) = 8×-5/16

r = -5/2

Substitute the given values into the formula

T4 = -16/5(-5/2)^4-1

T4 = -16/5(-5/2)³

T4 = -16/5×-125/8

T4 = -16/8×-125/5

T4 = -2×-25

T4 = 50

Hence the next term is 50