Home
Class 12
MATHS
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.

Text Solution

Verified by Experts

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`
...
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

Find the number of terms common to the two A.P. s : 3,7,11 , 407a n d2,9,16 , ,709.

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

Knowledge Check

  • The number of terms common to two A.P.'s 3,7,11, "………..", 407 and 2,9,16, "………" 709 is :

    A
    14
    B
    21
    C
    28
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    Number of common terms in both sequence 3, 7, 11,...., 407 and 2, 9, 16,....,905 is

    The number of common terms in both sequence 3,7,11,...,407 and 2,9,16,...,905 are

    9.The number of common terms in two A.P's 2,7,12,17..........500terms and 1,8,15,22........300 terms.is

    Find the number of terms common to the two arithmetic progression 5,9,13,17,…,216 and 3,9,15,21,…..,321

    Find the number of common terms in two A.P.'s 1, 4, 7, ... & 9, 16, 23, ..... that are less than 100.

    is 184 a term of the AP3,7,11,15,...?

    Show that the following two A.P. is have 14 common terms 3,7,11,15...,407 and 2,9,16,23,...,709 ,

    Home
    Profile