Question

determine the AP whose fourth term is 15 and the difference of 6th term from 10th term is 16​

Answer 1

The AP would be 3, 7, 11, 15, ................

Step-by-step explanation:

Since we have given that

$a_4=15\\\\a+3d=15------------------(1)$

$a_{10}-a_6=16\\\\a+9d-(a+5d)=16\\\\a+9d-a-5d=16\\\\4d=16\\\\d=\dfrac{16}{4}\\\\d=4$

So, put the value of d in the eq(1), we get

$a+3d=15\\\\a+3(4)=15\\\\a+12=15\\\\a=15-12\\\\a=3$

So, the AP would be 3, 7, 11, 15, ................

# learn more:

The 6th term of an ap is -10 and the 10th term of an ap is -26 determine the 15 term of an ap

https://brainly.in/question/6089696

Answer 2

Answer:

The AP would be 3, 7, 11, 15,

Step-by-step explanation: