Question

in an ap the first term is -4 and the last term is 150 and sum of its all terms 150 find common difference ​

Answer 1

Answer:

Answer. 146

Step-by-step explanation:

$a \: = \: \: - 4 \\ \\ a + (n - 1)d = 150 \\ - 4 + (n - 1)d = 150 \\ (n - 1)d = 154 \\ \\ \frac{n}{2} ( - 4 + 150) = 150 \\ \\ n(146) = 300 \\ \\ n = 300 \div 146 \\ \\ 150 \div 73 = n \\ \\ \\ \\ therefore \: \: \: ( \frac{150}{73} - 1)d = 154 \\ \\ \frac{(150 - 73)}{73} d = 154 \\ \\ 77d = 154 \times 73 \\ d = 2 \times 73 \\ \\ d = 146$