Question

find the 10th term of the ap 3 7 11​

Answer 1

Answer:

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

t(10)=3+(10-1)4

      =3+ (9*4)

       =3+36

        =39

Step-by-step explanation:

Answer 2

Answer:

correct answer is 39.

Step-by-step explanation:

Formula for common difference :

⠀⠀⠀⠀⠀⠀⠀⠀⠀d = an - a(n - 1)

Where,

d = Common Difference

a = Any term of the AP

Formula for nth term of an AP :

⠀⠀⠀⠀⠀⠀⠀⠀⠀tn = a1 + (n - 1)d

Where,

tn = nth term of the AP

n = no. of terms

d = Common Difference

a1 = First term

Solution :

First let us find the common difference of the AP :

By using the formula for common difference and substituting the values in it, we get :

⠀⠀⠀⠀=> d = an - a(n - 1)

⠀⠀⠀⠀=> d = a(3) - a(2)

⠀⠀⠀⠀=> d = 11 - 7

⠀⠀⠀⠀=> d = 4

⠀⠀⠀⠀⠀⠀⠀⠀⠀∴ d = 4

Hence the common difference of the AP is 4

To find the 10th term of the AP :

By using the formula for nth term of the AP and substituting the values in it, we get :

⠀⠀⠀⠀=> tn = a1 + (n - 1)d

⠀⠀⠀⠀=> t(10) = 3 + (10 - 1) × 4

⠀⠀⠀⠀=> t(10) = 3 + 9 × 4

⠀⠀⠀⠀=> t(10) = 3 + 36

⠀⠀⠀⠀=> t(10) = 39

⠀⠀⠀⠀⠀⠀⠀⠀⠀∴ t(10) = 39

Hence the 10th term of the AP is 39.