We have an geometric progression:
nth term=a₁r^(n-1)
nth term=y
a₁ is the first term=10
r=common ratio=a₂/a₁=20/10=2
n=x
nth term=a₁r^(n-1)
Therefore
y=10.2^(x-1)=(2*5)2^(x-1)=(5)2^(x-1+1)=(5)2^x
Answer: y=[5][(2)]^[x]
To check:
if x=1 ⇒y=(5)(2)=10
if x=2 ⇒y=(5)(4)=20
if x=3 ⇒y=(5)(8)=40
Answer:
17th term
Step-by-step explanation:
For some nth term, both series have same term. So,
6n - 21 = 4n + 13
Subtract 4n from both sides
6n - 4n - 21 = 13
2n - 21 = 13
Add 21 to both sides
2n = 13+21
2n = 34
Divide both sides by 2
n = 34/2
n = 17
Check:
6n - 21 = 6*17 - 21 = 102 - 21 = 81
4n + 13 = 4*17 + 13 = 68 + 13 = 81
17th term both the series is 81
Answer:
0.108
Step-by-step explanation:
0.66 × 0.33 × 0.5 = 0.108.
Formula: L × W × H × 1/6.
L = 4
W = 2
H = 3
4×2×3.
We then have you multiply that by 1/6.
4×1/6 = 0.66.
2×1/6 = 0.33
3×1/6 = 0.5
0.66 × 0.33 × 0.5 = 0.108.
Now, onto the correct answers.
7) (4×1/6cm) × (2×1/6cm) × (3×1/6cm)
7 is correct, because the answer is diving each number by 1/6, and multiplying them with each other.
1) 1/216 × 24
1 is correct, because the answer when the question is evaluated is around 0.108. 1/216 × 24 = 0.11111111111. It is very close to the answer. This, indeed is correct.
Correct, all decimals and fractions are rational numbers.
Answer:
a = 3
Step-by-step explanation:
Hope that helps :)