Answer:
The next term of the geometric sequence is -250
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