6th term of ap is -10 and 10th term is -26 determine 15th term of ap Question 6th term of ap is -10 and 10th term is -26 determine 15th term of ap in progress 0 Math Madelyn 1 month 2021-08-13T08:54:08+00:00 2021-08-13T08:54:08+00:00 2 Answers 0 views 0

## Answers ( )

Answer:-46

Step-by-step explanation:we can write 6th term as A+5D=-10(1) AND 10th term as A=9D=-26.(2)

NOW SUBTRACT THE BOTH EQUATIONS:-

## A+5D=-10-(1)

## A+9D=-26-(2)

so,-4D=16 hence d=-4

A+5(-4)=-10

A-20=-10

A=-10+20

∴A=10

∴SO, WE CAN WRITE 15TH TERM AS A+14D=10+14(-4)=10-56=-46

hence the value of the 15th term is -46

HOPE IT WILL HELP YOU

=> a + 5d = -10 ⠀⠀⠀⠀ …………….(i)

=> a + 9d = -26 ⠀⠀⠀⠀ ……………..(ii)

On subtracting (i) from (i), we get

=> 4d = -16

=> d = -4

On substituting d= -4 in (i), we get

=> a + 5 x (-4) – 10

=> a = 10

Thus, a = 10 and d = -4