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bearhunter [10]
4 years ago
7

Consider the sequence {3,6,9,12,15,…}. Find n if an = 735. Show all steps including the formulas used to calculate your answer.

Mathematics
1 answer:
vekshin14 years ago
5 0

Answer:

n = 245

Step-by-step explanation:

The given sequence is 3,6,9,12,15,…

nth term of the AP is 735

We know that, the nth term of an AP is given by :

a_n=a+(n-1)d

d is common difference, d = 6-3 = 3

Put all the values to find n.

735=3+(n-1)3\\\\732=(n-1)3\\\\\dfrac{732}{3}=n-1\\\\n=244+1\\\\n=245

So, there are 245 terms in the sequence.

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Step-by-step explanation:

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3. Victoria counts this week's food donations at a pet shelter. There are 16 full cases of canned food. There are 4 cases of can
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Answer:

We know that C is the total number of cans in a complete case.

Victoria counts:

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C - 5 cans.

Then in those four cases we have a total of: 4*(C - 5) cans.

And Victoria knows that there are 220 cans, then we have that:

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4 0
3 years ago
Read 2 more answers
Find the value of x that makes m ∥ n.
kozerog [31]

<u>Given</u>:

The measures of the alternate exterior angles are (180 - x)° and x°

We need to determine the value x that makes m ║ n

<u>Value of x:</u>

We know that the measures of alternate exterior angles are equal.

Thus, we have;

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Adding both sides of the equation by x, we have;

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Simplifying, we get;

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Dividing both sides of the equation by 2, we have;

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Answer:

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elena-s [515]
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