Question

Find the general term of each sequence 1. 1,2,3,4... 2. 2,5,6,11...

Answer 1

1. The first element of the sequence is 1 and the difference between two consecutive elements is 1, then the general term of the sequence is y = n.
2. The first element of the sequence is 2 and the difference between two consecutive elements is 3, then the general term of the sequence is y = 2 + 3 · n.

What are the general terms of two sequences?

In this question we find two cases of arithmetic sequences, that is, sets of elements generated by linear equations of the form:

y = a + b · (n - 1)              (1)

Where:

• a - First element of the series
• b - Difference between two consecutive elements.
• n - Element index

Now we proceed to derive the general term of each sequence:

1. The first element of the sequence is 1 and the difference between two consecutive elements is 1, then the general term of the sequence is y = n.
2. The first element of the sequence is 2 and the difference between two consecutive elements is 3, then the general term of the sequence is y = 2 + 3 · n.

Remark

The statement present typing errors, correct form is shown below:

Find the general term of each sequence:

1. 1, 2, 3, 4 ...
2. 2, 5, 6, 11 ...

To learn more on arithmetic sequences: brainly.com/question/15412619

#SPJ1