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Understanding Properties of an AP from Its Algebraic Expression

Question 13Th...

Question

Question 13
The $4^{t h}$ term from the end of an AP – 11, –8, –5, ….., 49 is

A) 37
B) 40
C) 43
D) 58

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Solution

We know that, the nth term of an AP from the end is;
$a_{n} = l - (n - 1) d . . . (i)$
$H e r e, l = L a s t t e r m = 49 [g i v e n]$

Common difference,
d = -8 - (- 11)
= -8 + 11 = 3

From eq. (i), The $4^{t h}$ term from the end
= 49 - (4 - 1)3 = 49 - 9 = 40

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Similar questions

The $4^{t h}$ term from the end of an AP is $- 11, - 8, - 5, \dots . ., 49$ is
$A . 37$
$B . 40$
$C . 43$
$D . 58$

Q. The 4^th term from the end of the AP: –11, –8, –5, ..., 49 is
(a) 37
(b) 40
(c) 43
(d) 58

Q. The 4th term from the end of AP −11, −8, −5, ... ,49 is
(a) 58
(b) 43
(c) 40
(d) 37

4 t h

term from the end of the AP

- 11, - 8, - 5, . . . . . . . . . . . . . . . . . . . .49

4^{t h}

term from the end of the AP:

11, 8, 5, . . ., - 49

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Understanding Properties of an AP from Its Algebraic Expression

Standard X Mathematics

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