How many terms of the sequence 6, -12, 24, -48, will have a sum
-2046?

Step-by-step explanation:

this the gemetric  sequence  because : -12/6 =24/-12=-48/24=-2 (common rat)

the sum is : S=  u1 ×(d^n - 1)(d-1)

d = -2     u1  = 6     S= -2046

6((-2)^n -1) /(-2 -1) = -2046

(-2)^n -1  =1023

(-2)^n = 1024      but 1024 = 2^10 = (-2)^10

so : (-2)^n = (-2)^10

n=10  conclusion : 10 terms

ou would have 12 of each