What is the next term of the geometric sequence? 2,-10,50, ?

-250

Step-by-step explanation:

Each thing is multiplied by -5.

The next term of the geometric sequence is -250

Step-by-step explanation:

Formulas:-

nth term of geometric sequence

aₙ = aₙ₋₁ * r

r - Common ratio

r = aₙ/aₙ₋₁

It is given a geometric sequence, 2,-10,50

To find the common ratio

r = aₙ/aₙ₋₁

we have , a₁ = 2 and a₂ = -10

r = a₂/a₁ = -10/2 = -5

To find the next term

Here next term is a₄

a₄ = a₃*r

a₃ = 50

a₄ = 50 * (-5) = -250

Therefore the next term is -250

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step-by-step explanation: