Write the nth term of the following sequence in terms of the first term of the sequence.
10, 20, 40, . . .
It seems to double each time. Which one is the "nth" term?? Work it out.
find the sum of these arithmetic series
13+24+35+...+156
To find the nth term of a sequence, we need to look for a pattern in the terms. In this sequence, we can see that each term is obtained by multiplying the previous term by 2.
So, the sequence can be written as: 10, 10 * 2, 20 * 2, 40 * 2, ...
To find the nth term, we can use the formula:
nth term = first term * common ratio^(n-1)
In this sequence, the first term is 10, and the common ratio is 2.
So, the nth term can be written as:
nth term = 10 * 2^(n-1)
Therefore, the nth term of the given sequence in terms of the first term is 10 * 2^(n-1).