Answer:
When a number is divided by 5 and the result is 247 with a remainder, one possible dividend is 1236.
The quotient of a number is the number that is gotten when a number is divided by another number. For example, the quotient of 10 and 2 is 5.
An unknown number was divided by 5 and the result was 247 with a remainder. In order to determine the number the first step is to determine the product of 247 and 5.
247 x 5 = 1235
Since the number has a remainder, the number cannot be exactly 1235. The number would lie between 1235 and 1240. The numbers can be 1236, 1237, 1238 and 1239.
Answer:
4, 8, 16, 32, 64
Step-by-step explanation:
The nth term of a geometric sequence is
= a₁
Given
a₇ = 256 and a₁₀ = 2048 , then
a₁ 
= 256 → (1)
a₁ 
= 2048 → (2)
Divide (2) by (1)
= 
r³ = 8 ( take the cube root of both sides )
r = ![\sqrt[3]{8}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B8%7D)
= 2
Substitute r = 2 into (1)
a₁ × 
= 256
a₁ × 64 = 256 ( divide both sides by 64 )
a₁ = 4
Then
a₁ = 4
a₂ = 2a₁ = 2 × 4 = 8
a₃ = 2a₂ = 2 × 8 = 16
a₄ = 2a₃ = 2 × 16 = 32
a₅ = 2a₄ = 2 × 32 = 64
Distribute the parentheses:
2(x + 1)
2 · x = 2x
2 · 1 = 2
2(x + 1) = 2x + 2
Answer: 121
Step-by-step explanation:
The formula for the sum of the a finite geometric series is this:
Sn = a((1-r^n) / (1-r))
The given values are:
n = 30
a = 0.5 mi
r = 1.10 (10% more each day)
S30 = 0.5 ((1-1.10^30) / (1-1.10))
S30 = 82.25 mi
After 30 days, he will have traveled 82.25 miles.
