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uranmaximum [27]
3 years ago
9

Suppose an arithmetic sequence has a common difference of -5. What is the next term after 105?

Mathematics
1 answer:
Andru [333]3 years ago
4 0

Answer:

<h2>          - 525</h2>

Step-by-step explanation:

a_{n+1}=a_n\cdot r

So, if the common ratio is -5 the next term is always (-5) times the previous term.

<h3>105·(-5) = - 525</h3>
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Given that f(x) = 10x + 45, find f(7)
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Answer:

\boxed{\bf f(x) = 115}

Step-by-step explanation:

<u>Given polynomial </u><u>function </u>:-

f(x) = 10x +  45

<u>To </u><u>find</u> :-

\sf \: f(7)

<u>Solution:-</u>

\sf \implies \: f(x) = 10x + 45

Here, the value of x is 7(given).

So, <u>Substitute the value of x on the RHS and </u><u>on </u><u>LHS </u>:-

\sf \implies{f}(“7”) = 10(“7”) + 45

Simplify the RHS:-

<u>Multiply 10 and 7 :-</u>

\sf \implies{f}(7) = 10 \times 7 + 45

\sf \implies{f}(7) = 70 + 45

<u>Add 70 and 45 :-</u>

\sf \implies{f}(7) = 115

We're done!

Hence, the value of f(7) would be,

\sf \implies{f}(7) = 115

\rule{225pt}{2pt}

I hope this helps!

Let me know if you have any questions.

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