2,6,10,14, what is the next number at ate a/30 place.
a/n=-2+4n
a/30=?
An = 2 + 4(n-1)
A30 = 2 + 4(29) = 118
To find the next number in the sequence, we need to determine the value of 'n' that corresponds to the 'a/30' place.
We have the equation a/n = -2 + 4n.
Since we are looking for the value of 'a' at the 'a/30' place, we need to substitute 'n' with 30 in the equation.
a/30 = -2 + 4(30)
Now, we solve this equation to find the value of 'a' at the 'a/30' place:
a/30 = -2 + 120
a/30 = 118
To get the value of 'a', we can multiply both sides of the equation by 30:
a = 30 * 118
a = 3540
Therefore, the value of 'a' at the 'a/30' place is 3540.
Now, to find the next number in the sequence, we add the common difference of 4 to the last number (14):
14 + 4 = 18
So, the next number at the 'a/30' place is 18.