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Find the number of terms common to the t...

Find the number of terms common to the two AP's 3,7,11,15.... 407 and 2, 9 ,16.......709.

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1st AP `: 3,7,11,15,19,23,27,31,35, 39,43, 47, 51,55,59. 67, 71,75, ------ , 407`
2nd AP`: 2, 9,16,23,30, 37, 44,51,58,65; 72, 79,86, 93---, 709`
common = `23, 51`
Acc to 1st AP `23, 51,79, ----------- , 407` are in AP
`a = 23 `
`d = 79-51= 51-23 = 28`
`T_n = a+ (n-1)d = 23 + (n-1)28`
`T_n <= 407`
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