Question

If an= -4n+14 find the 15th team ​

Answer 1

Step-by-step explanation:

Given:-

an=-4n+14

To find:-

Find 15th term

Solution:-

Method-1:-

Given that an = -4n +14

Put n = 15 then

a 15 = -4(15)+14

=> a 15 = -60+14

=> a15 = -46

15th term = -46

Method-2:-

Given that

an = -4n+14

Put n= 1 then

a1 = -4(1)+14

=> a1 = -4+14

a1 = 10

First term = 10

put n= 2 then

a 2 = -4(2)+14

a2 = -8+14

a2 = 6

Second term = 6

Common difference = 6-10 = -4

Now we know that

The general term ofvl an AP = an = a+(n-1)d

a15 = a+(15-1)d

=> a15 = a+14d

=> a15 = 10+14(-4)

=> a15 = 10-56

a15 = -46

15th term = -46

Answer:-

15th term for the given problem is -46

Used formulae:-

• The general term of an AP = an = a+(n-1)d