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Find the {11}^{{{t}{h}}}from the last term (towards the first

Question

Find the $11^{t h}$ from the last term (towards the first term) of the AP : $10, 7, 4, ˙ ˙ ˙, 62 .$

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Noah Discussed

Find the

11^{t h}

from the last term (towards the first term) of the AP :

10, 7, 4, ˙ ˙ ˙, 62 .

9 mins ago

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9 mins ago

Text solutionVerified

Solution: 10,7,4...,-62 (AP)

a_{1}

=10

a_{2}

=7
d=

a_{2} - a_{1}

=7-10
=-3
L=-62

a_{n}

=a+(n-1)(d)
-62=10+(n-1)(-3)
(n-1)=24
n=25

a_{15}

=a+(15-1)d

a_{15}

=10+(14)(-3)

a_{15}

=-32

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Question Text	Find the $11^{t h}$ from the last term (towards the first term) of the AP : $10, 7, 4, ˙ ˙ ˙, 62 .$
Answer Type	Text solution:1
Upvotes	150