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Then n^(t h) term of an A.P. is 6n+2. Fi...

Then `n^(t h)` term of an A.P. is `6n+2.` Find the common difference.

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To find the common difference of the arithmetic progression (A.P.) given that the nth term is represented by the formula \( A_n = 6n + 2 \), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the nth term formula**: The nth term of the A.P. is given as \( A_n = 6n + 2 \). 2. **Calculate the first term \( A_1 \)**: ...
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Knowledge Check

  • The nth term of an AP is (3n +5). Find its common difference.

    A
    3
    B
    6
    C
    9
    D
    12

  • Assertion (A) : If the n^(th) term of an A.P. is 7- 4n, then its common differences is -4. Reason (R ) : Common differences of an A.P .is given by d=a_(n+1)-a_(n)

    A
    Both A and R are true and R is the correct explanation for A.
    B
    Both A and R are true and R is not correct explanation for A.
    C
    A is true but R is false.
    D
    A is false but R is true.

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    The nth term of an AP is (7-4n). Find its common difference.

    If the n^(th) term of an A.P is (5n-2) ,find its Common difference

    If m^(th) n^(th) and o^(th) term of an A.P. are n, o and m. Find common difference d.

    The first term of an A.P. is 5 and the common difference is 4. Complete the following activity and find the sum of first 12 terms of the A.P. Here, a=5, d=4,S_(12)=? S_(n)=(n)/(2)[.............] thereforeS_(12)=(12)/(2)[10+..........] =6xx...............=.............

    If the n^(th) term of A.P. is (3+n)/(4) , then find the common different of A.P.

    If the general term of an AP is 3n+5 then find the common difference

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