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
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.
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