Let T r be the r th term of an A-P- for r -1-2-3- If T 3-18 nd T 6-39- find T 18A- 113B- 123C- 112D- 132

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Let T r be th...

Question

Let $T_{r}$ be the $r^{t h}$ term of an A.P. for r = 1, 2, 3, - - - - -. If $T_{3} = 18$ nd $T_{6} = 39$ , find $T_{18}$ .

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Solution

The correct option is B
123

$T_{6} = a + 5 d$
$T_{5} = a + 2 d$
$T_{6} - T_{3} = 3 d$
39-18=3d
3d=21
$d = 7$
$T_{1} 8 = a + 17 d$
$= (a + 5 d) + 12 d$
$= T_{6} + 12 d$
=39 +12 X 7
=123

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Let Tr be the rth term of an A.P. for r = 1, 2, 3, - - - - -. If T3=18 nd T6=39, find T18.

The correct option is B 123 T6=a+5d T5=a+2d T6−T3=3d 39-18=3d 3d=21 d=7 T18=a+17d =(a+5d)+12d =T6+12d =39 +12 X 7 =123

Let $T_{r}$ be the $r^{t h}$ term of an A.P. for r = 1, 2, 3, - - - - -. If $T_{3} = 18$ nd $T_{6} = 39$ , find $T_{18}$ .

The correct option is B
123

$T_{6} = a + 5 d$
$T_{5} = a + 2 d$
$T_{6} - T_{3} = 3 d$
39-18=3d
3d=21
$d = 7$
$T_{1} 8 = a + 17 d$
$= (a + 5 d) + 12 d$
$= T_{6} + 12 d$
=39 +12 X 7
=123