Answer:
Equation: 4n - 5 = 31
Number: 9
Step-by-step explanation:
Variable n = number
4n - 5 = 31
4n - 5 + 5 = 31 + 5
4n = 36
n = 9
Check your work:
4(9) - 5 = 31
36 - 5 = 31
31 = 31
Correct!
Hey!
Let's simplify the expression
sum = +
- The term "sum" is used when adding. Therefore, it is equal to "+".
8 times a number and 2 = 8x + 2
- 8 is equal to 8. The term "times" is used when multiplying. Therefore, it is equal to "×". "A number" is a variable. A variable can be any letter. In this case, I have made it "x", which is commonly used.
That gives you: 8x + 2
Answer:
24 in total
Step-by-step explanation:
Answer:
The first term of the geometric series is 1
Step-by-step explanation:
In this question, we are tasked with calculating the first term of a geometric series, given the common ratio, and the sum of the first 8 terms.
Mathematically, the sum of terms in a geometric series can be calculated as;
S = a(r^n-1)/( r-1)
where a is the first term that we are looking for
r is the common ratio which is 3 according to the question
n is the number of terms which is 8
S is the sum of the number of terms which is 3280 according to the question
Plugging these values, we have
3280 = a(3^8 -1)/(3-1)
3280 = a( 6561-1)/2
3280 = a(6560)/2
3280 = 3280a
a = 3280/3280
a = 1