Common difference d when The first term of an arithmetic sequence is 5, and the tenth term is 13 is 
Step-by-step explanation:
The first term a₁ = 5
The tenth term a₁₀ = 13
Find Common difference d=?
The formula used for arithmetic sequence is:

where aₙ = nth term
a₁= 1st term
d= common difference
Finding d:

So, Common difference d when The first term of an arithmetic sequence is 5, and the tenth term is 13 is 
Keywords: arithmetic sequence
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Hi,
I assume the forward slash meant it as a fraction VS it being a division symbol. To answer your question, the remainder is 10.
Hope this helps.
Answer:
g(7)=68
Step-by-step explanation:
Answer:
(6 + x)(6 + x) = (6 + x)²
Step-by-step explanation:
Given
36 + 12x + x²
Consider the factors of the constant term (+ 36) which sum to give the coefficient of the x- term (+ 12)
The factors are + 6 and + 6, since
6 × 6 = 36 and 6 + 6 = 12, thus
36 + 12x + x² = (6 + x)(6 + x) = (6 + x)²
Answer:

Step-by-step explanation:
The standard form of a polynomial is a method of writing a polynomial such that the terms are organized by degrees. In essence, the first term, or the left-most term has the highest degree or largest exponent. The right-most term or last term has the lowest degree or smallest exponent. One is given an expression in factored form. Distribute, multiply every term by another in the parenthesis, then simplify. Repeat this process until there are no more factored terms. Finally, rewrite the expression in standard form.

Distribute,


Simplify,



Distribute,


Simplify,



This polynomial is already in standard form, thus there is no need to reorganize it. The leading term or the left-most term has the highest degree, three, the succeeding terms are in respective order of decreasing exponents.