For the AP- x-7- x-2- x-3- - the 15th term isA- x -53B- x-63 - x -63D- x -53

The correct option is C x + 63 Given AP is: nbsp;x 7, x 2, x + 3, .... ∴ First term nbsp;(a) = x 7 Common difference: (d) = (x 2) (x 7) = 5 The n^ ...

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Standard X

Mathematics

Sequences, Series and Progressions

For the AP: x...

Question

For the AP: $x - 7, x - 2, x + 3, . . . .$ the $15^{t h}$ term is ____.

$x + 53$

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$x - 53$

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$x - 63$

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$x + 63$

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Solution

The correct option is D
$x + 63$

Given AP is: $x - 7, x - 2, x + 3, . . . .$
$∴$ First term $(a) = x - 7$

Common difference: $(d) = (x - 2) - (x - 7) = 5$

The $n^{t h}$ term of an AP is given by, $a_{n} = a + (n - 1) d$

Then, the $15^{t h}$ term of the above series is given by,

$a_{15} = (x - 7) + (15 - 1) 5$

$\Rightarrow a_{15} = x - 7 + 70 = x + 63$

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Similar questions

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For the AP: $x - 7, x - 2, x + 3, . . . .$ the $15^{t h}$ term is ____.

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For the AP: x−7,x−2,x+3,.... the 15th term is ____.

The correct option is D x+63 Given AP is: x−7,x−2,x+3,.... ∴ First term (a)=x−7 Common difference: (d)=(x−2)−(x−7)=5 The nth term of an AP is given by, an=a+(n−1)d Then, the 15th term of the above series is given by, a15=(x−7)+(15−1)5 ⇒a15=x−7+70 =x+63

For the AP: $x - 7, x - 2, x + 3, . . . .$ the $15^{t h}$ term is ____.