13. For the arithmetic sequence: 6, 12, 18, 24,...
1 answer:
a_15 = 90
a_n = 6n
Step-by-step explanation:
Given sequence is:
6, 12, 18, 24,...
First of all we have to find the common difference. The common difference is the difference between consecutive terms of an arithmetic sequence.
Here,
The general form for arithmetic sequence is:
Putting the values for a_1 and d
<u>a) Find a15</u>
<u>b) Write an equation for the nth term.</u>
The equation is: a_n=6n
Keywords: Arithmetic sequence, Common Difference
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Point slope form:
m=slope
(x1,y1)
First we need to find the slope using the slope formula:
Given the two coordinates:
<span>(1, 9) and (−1, 11)
Plug them into the slope formula:
</span>
Simplify:
<span>
Now we know that:
m=-1 and the (x1,y1) would be </span><span>(1, 9)
</span>
Now we simply plug in the info:
Final answer: y − 9 = −(x − 1)
m=slope
(x1,y1)
First we need to find the slope using the slope formula:
Given the two coordinates:
<span>(1, 9) and (−1, 11)
Plug them into the slope formula:
</span>
Simplify:
<span>
Now we know that:
m=-1 and the (x1,y1) would be </span><span>(1, 9)
</span>
Now we simply plug in the info:
Final answer: y − 9 = −(x − 1)