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Find 42nd term of progression 3, 8, 13, 18,............Choices:- 200 204 206 208

Question

Find 42nd term of progression 3, 8, 13, 18,............

Choices:-

  • 200
  • 204
  • 206
  • 208
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Solution

The given sequence is an arithmetic progression where the common difference (d) is 5 (8-3).

The formula to find the nth term of an arithmetic progression is:

a_n = a + (n-1) * d

where: a_n is the nth term, a is the first term, n is the position of the term in the sequence, d is the common difference.

Substituting the given values into the formula:

a_42 = 3 + (42-1) * 5 a_42 = 3 + 41 * 5 a_42 = 3 + 205 a_42 = 208

So, the 42nd term of the progression is 208.

This problem has been solved

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