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The ratio of the 11th term to the 18th t...

The ratio of the 11th term to the 18th term of an AP is `2:3`. Find the ratio of the 5th term to the 21st term and also the ratio of the sum of the first five terms to the sum of the first 21 terms.

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To solve the problem step by step, we will follow these instructions: ### Step 1: Understand the given information We know that the ratio of the 11th term to the 18th term of an arithmetic progression (AP) is given as \(2:3\). ### Step 2: Write the formula for the nth term of an AP The nth term of an AP can be expressed as: \[ ...
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The ratio of 11 th term to the 18 th term of an AP is 2:3. Find the ratio of 5 th to 21 th term Also find the ratio of the sum of first 5 terms to first 21 terms.

If the ratio of the 11^(th) term of an AP to its 18^(th) term is 2 : 3 , find the ratio of the sum of the first five terms to the sum of its first 10 terms.

Knowledge Check

  • The ratio of the 7th to the 3rd terms of an A.P. is 12:5, find the ratio of the 13th to 4th term :

    A
    `13:7`
    B
    `4:3`
    C
    `10:3`
    D
    none of these

  • If the 10^(th) term of an AP is 0 , then find the ratio of the 27^(th) term and the 15^(th) term of the AP.

    A
    `1:1`
    B
    `17:5`
    C
    `1:3`
    D
    `3:1`

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