The explicit formula is a(n) = 15(n – 10)
<u>Solution:</u>
Given, a term a(19) = 135 and common difference d = 15
We have to find the explicit formula.
Now, we know that, a(n) = a + (n – 1)d where a(n) is nth term, a is first term, d is common difference,
So, for a(19)
Now, we know that, an explicit formula is an expression for finding the nth term,
So, in our problem, expression for finding nth term is a + (n – 1)d
Hence, the explicit formula is a(n) = 15(n – 10).
Answer:
- simplifies to 6x+6=-10
- x = -8/3 = -2 2/3
Step-by-step explanation:
3(4x+2)-6x=5x-5(2+x)
12x +6 -6x = 5x -10 -5x . . . . . eliminate parentheses using the distributive property
6x +6 = -10 . . . . . . . . . . . . . . . collect terms
x +1 = -10/6 . . . . . . . . . . . . . . . divide by 6
x = -1 - 5/3 . . . . . . . . . . . . . . . add -1
x = -8/3 . . . . . . . . . . . . . . . . . simplify
n can be 0 so 2(0) +3(0) = 0 now lets go up by one so 2(1) +3(1)= 5 now we will go up another number so lets go for 2(2)= 10 so we figured out that 2(1) +3(1) is 5 so n equals 1
Answer:
Let the width of the garden =x meter
Then length=(x+4) meter
Half perimeter =36 m
So perimeter of garden =(2×36)=72 meters
According to the question
⇒2(l+b)=72
⇒2(x+x+4)=72
⇒2x+2x+4=74⇒4x=64⇒x=16 meters
Hence,the width of the garden =16 meters
The length of the garden =(16+4)=20 meters
Answer:
2 tons and 1824 pounds
Step-by-step explanation:
Ton= 2,000 pounds
We know that 2,000 will go into 5824 twice, resulting in 4,000. Subtract 4,000 from 5,284, and you will have an answer of 1284. 1,284 does not go into a ton, therefore you have a remainder of 1,284 pounds.
