In the arithmetic sequence 5;7;10;13 which term is greater than 150
I think you meant 4;7;10;13 where
An = 1+3n
So, just solve for n where
1+3n > 150
In arithmetic sequence 7;10;13;..........which term greater than 150?
To determine which term in the arithmetic sequence 5, 7, 10, 13 is greater than 150, we can find the formula for the nth term of an arithmetic sequence and solve for n.
The formula for the nth term of an arithmetic sequence is given by:
a_n = a_1 + (n - 1)d
where a_n is the nth term, a_1 is the first term, n is the position of the term, and d is the common difference.
In this case, the first term (a_1) is 5, and the common difference (d) is 7 - 5 = 2.
Let's solve for n when a_n is greater than 150:
a_n = 150
5 + (n - 1) * 2 = 150
Simplifying the equation:
(n - 1) * 2 = 150 - 5
2n - 2 = 145
2n = 145 + 2
2n = 147
n = 147 / 2
n = 73.5
Since n represents the position of the term in the sequence, it cannot be a decimal. Therefore, the term that is greater than 150 is the 74th term in the sequence.