Multiple choice

What is the product of 30th and 36th term of the given sequence? 4.5, 7.5, 10.5, ...

  1. 10017.25

  2. 10018.25

  3. 10019.25

  4. 10020.25
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C Correct answer
Explanation

Sequence is 4.5, 7.5, 10.5... (Arithmetic progression, a=4.5, d=3). 30th term = 4.5 + 29*3 = 91.5. 36th term = 4.5 + 35*3 = 109.5. Product = 91.5 * 109.5 = 10019.25.

AI explanation

This is an arithmetic progression with a first term of 4.5 and a common difference of 3. The nth term of an arithmetic progression is given by a + (n - 1)d. The 30th term is 4.5 + 29(3) = 91.5, and the 36th term is 4.5 + 35(3) = 109.5. Their product is 91.5 multiplied by 109.5, which is 10019.25.

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