Question

If the sum of first 14 terms of an AP is 1050 and its first term
is 10. Find its
20th term​

Answer 1

Step-by-step explanation:

Here,sum of the first 14 terms is 1050.

so,s14=1050

Also,a=10 and n=14

we know that,

sum=n/2[2a+(n-1)d]

putting values

1050=14/2[2×(10)+(14-1)d]

1050=7[20+13d]

1050/7=20+13d

150=20+13d

13d=150-20

13d=130

d=130/13

d=10

we have to find the 20th term

we use the formula

an=a+(n-1)d

Here,a=10,d=10,n=20

putting values

a ^ n=a+(n-1)d

a ^ 20=10+(20-1)10

a^20=10+19×10

a^20=10+190

a^20=200

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