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Find the number of terms common to the two A.P.'s 3,7,11,......,407 and 2,9,16,......,709

 Jul 17, 2020
 #1
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The formula for the number of terms is (last term-first term)/common difference +1. For 3, 7, 11, ..., 407, the number of terms are:

 

(407-3)/4+1

=404/4+1

=101+1

=102

 

For 2, 9, 16, .. 709 the number of terms are:

 

(709-2)/7+1

=707/7+1

=101+1

=102

 

Both of them have 102 terms.

 Jul 17, 2020

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