Fin the sum of the series 1+2+4+8+....to 12 terms.
To find the sum of the given series, we need to use the formula for the sum of a geometric series:
Sum = (First term * (1 - common ratio^n)) / (1 - common ratio)
In this series, the first term (a) is 1 and the common ratio (r) is 2. We know the number of terms (n) is 12.
Plugging in these values into the formula, we get:
Sum = (1 * (1 - 2^12)) / (1 - 2)
= (1 * (1 - 4096)) / (-1)
= (1 * (-4095)) / (-1)
= 4095
Therefore, the sum of the series 1+2+4+8+... to 12 terms is 4095.