Question

If in AP a1 =13 and a9 = 61 then the commen different is​

Answer 1

Answer:

Common difference = 6

Step-by-step explanation:

Given :

In an A.P.,

• a₁ = 13
• a₉ = 61

To find :

common difference

Solution :

nth term of an A.P is given by,

  aₙ = a₁ + (n - 1)d

where

a₁ denotes first term

d denotes common difference

Given, first term, a₁ = 13

9th term :

Put n = 9,

a₉ = a₁ + (9 - 1)d

61 = 13 + 8d

61 - 13 = 8d

8d = 48

  d = 48/8

  d = 6

∴ Common difference, d = 6

______________________

More about Arithmetic Progression :

• It is the sequence of numbers such that the difference between any two successive numbers is constant.

• General form of AP,

      a , a+d , a+2d , a+3d , ..........

• Formulae :

   nth term : $\bf a_n=a+(n-1)d$

Sum of n terms : $\bf S_n=\dfrac{n}{2}[2a+(n-1)d]$

Answer 2

Answer:

Common Difference = 6

Step-by-step explanation:

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