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Here are the first five terms of an arithmetic sequence. 26 19 12 5 (b) Find an expression, in terms of n, for the nth term of t
Question
Here are the first five terms of an arithmetic sequence.
26 19 12 5
(b) Find an expression, in terms of n, for the nth term of this sequence.
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Mathematics
3 years
2021-08-17T16:08:50+00:00
2021-08-17T16:08:50+00:00 1 Answers
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Answer:
The nth term of an AP will be 27 -7n.
Step-by-step explanation:
First five terms of the Arthemetic Sequence is given to us , which is 26 , 19 , 12 , 5
Hence here Common Difference can be found by subtracting two consecutive terms . Here which is 19 – 26 = (–7) .
Here first term is 26 .
And the nth term of an AP is given by ,
★ T_n = a + ( n – 1) d
Substituting respective values ,
⇒ T_n = a + ( n – 1 )d
⇒ T_n = 26 + (n – 1)(-7)
⇒ T_n = 26 -7n+1
⇒ T_n = 27 – 7n
Hence the nth term of an AP can be found using T_n = 27 – 7n.