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

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

-250

Step-by-step explanation:

Each thing is multiplied by - 5.