find the 10th term of the geometric progression -2, 6, -18,...
-2, 6, -18, 54, -162, 486, -1,458, 4,374, -13,122, 39,366
The 10th term is 39,366
To get the next term multiply ×3 to the number and add negative sign (-) to the next second term on the sequence
2 × 3 = 6
6 × 3 = 18
18 × 3 = 54
54 × 3 = 162……then continue it
Answer:
10th term: 39366
Step-by-step explanation:
finding the R
r=a2÷a1
r=6÷(-2)
r=(-3)
Finding the 10th Term
given:
a1=(-2)
n=10
Solution:
an=a1(r)^n-1
a10=(-2)(-3)^10-1
a10=(-2)(-3)^9
a10=(-2)(-19683)
a10= 39366
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find the 10th term of the geometric progression -2, 6, -18,...
-2, 6, -18, 54, -162, 486, -1,458, 4,374, -13,122, 39,366
The 10th term is 39,366
To get the next term multiply ×3 to the number and add negative sign (-) to the next second term on the sequence
2 × 3 = 6
6 × 3 = 18
18 × 3 = 54
54 × 3 = 162……then continue it
Answer:
10th term: 39366
Step-by-step explanation:
finding the R
r=a2÷a1
r=6÷(-2)
r=(-3)
Finding the 10th Term
given:
a1=(-2)
r=(-3)
n=10
Solution:
an=a1(r)^n-1
a10=(-2)(-3)^10-1
a10=(-2)(-3)^9
a10=(-2)(-19683)
a10= 39366