Factor completely 2c^5+44^4+242c^3
1 answer:
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Answer:
The 13th term is 81<em>x</em> + 59.
Step-by-step explanation:
We are given the arithmetic sequence:
And we want to find the 13th term.
Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:
Find the common difference by subtracting the first term from the second:
Distribute:
Combine like terms. Hence:
The common difference is (7<em>x</em> + 5).
To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:
Where <em>a</em> is the initial term and <em>d</em> is the common difference.
The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:
To find the 13th term, let <em>n</em> = 13. Hence:
Simplify:
The 13th term is 81<em>x</em> + 59.
Answer:
The number of visit so that both plan cost same is 10 .
Both the plan has equivalent choice of benefit
Step-by-step explanation:
Given as :
A gym has two membership plans.
For Gold plan
The charge per month = $50
The charge per visit = $3
For Platinum plan
The charge per month = $20
The charge per visit = $6
Let The number of visit for which each plan be same = n visits
Now, According to question
<u>∵ Each plan cost to be same</u>
So,
The charge per month for gold plan+ The charge per visit × numbers of visit = The charge per month for platinum plan+ The charge per visit × numbers of visit
I.e $50 + $3 × n = $20 + $6 × n
Or, $50 - $20 = $6 × n - $3 × n
Or, $30 = ($6 - $3) × n
Or, $30 = $3 × n
∴ n =
I.e n = 10
So, The number of visits = n = 10
Now, For Gold plan
The charge per month = $50
The charge per visit = $3 × 10 = $30
So, Total charge for gold plan = $50 + $30 = $80
Similarly For Platinum plan
The charge per month = $20
The charge per visit = $6×10 = $60
So, For Platinum plan ,total charge = $20 + $60 = $80
Hence, The number of visit so that both plan cost same is 10
and both the plan has equivalent benefit. Answer