If the second term of an AP is 8 and 5th term is 17, find its 19th term.
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7
Step-by-step explanation:
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9
Answer:
59
Step-by-step explanation:
Given there is an AP.
Also given that,
2nd term of the AP = 8
5th term of the AP = 17
To find the 19th term.
We know that,
nth term of an AP is given by,
- a_n = a + (n-1)d
Where,
- a = first term
- d = common Difference
Therefore, we will get,
=> a_2 = a+(2-1)d
=> a + d = 8 ........(1)
And,
=> a_5 = a+(5-1)d
=> a + 4d = 17 ......(2)
Subtracting eqn (1) from (2), we will get,
=> 4d-d = 17-8
=> 3d = 9
=> d = 9/3
=> d = 3
Substituting this value in eqn (1), we will get,
=> a + 3 = 8
=> a = 8-3
=> a = 5
Therefore, we will get,
=> a_19 = a+(19-1)d
=> a_19 = a+18d
=> a_19 = 5 +3(18)
=> a_19 = 5+54
=> a_19 = 59
Hence, the required answer is 59
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