Question

The 6th term from the end of the sequence 9,12,15,.......20th ​

Answer 1

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10th

Maths

Arithmetic Progressions

General Formula for nth Term

Find the 6th term from the ...

MATHS

Find the 6th

term from the end of the A.P : 17,14,11,......−40

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ANSWER

◆ Given,

AP... 17,14,11..-40

So, now we need the 6th term from last. SO, by reversing the AP, we get;

AP = -40,-37,-31......14,17

Now, Given;

d=3

a1=-40

n=6

Therefore a6= a+(n-1)d

=a6=−40+(6−1)3

=a6=−40+5∗3

=a6=−40+15

=a6=−25

So the 6th term is−25 

Answer 2

Solution :-

given AP sequence is 9,12,15,_______ upto 20th term .

So,

→ First term = a = 9

→ Common difference = d = a2 - a1 = 12 - 9 = 3

and,

→ 6th term from the end = 20 - 6 + 1 = 14 + 1 = 15th term .

then,

→ T(n) = a + (n - 1)d

→ T(15) = a + (15 - 1)d

→ T(15) = 9 + 14 * 3

→ T(15) = 9 + 42

→ T(15) = 51 (Ans.)

Hence, The 6th term from the end of the sequence is equal to 51 .

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