<br />14) In an AP, if an = 2n - 1 find a^3
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1
Answer:
The 7th term of an AP, a_{7}=a
7
= 13.
Step-by-step explanation:
We have,
The nth term of an AP,
a_{n}a
n
= 2n -1
To find, the 7th term of an AP, a_{7}a
7
=?
Put n = 1, 2, 3, 4, ....., n
The 1st term of an AP,
a_{1}a
1
= 2(1) -1 = 2 - 1 = 1
The 2nd term of an AP,
a_{2}a
2
= 2(2) -1 = 4 - 1 = 3
The 3rd term of an AP,
a_{3}a
3
= 2(6) -1 = 6 - 1 = 5
...
The 7th term of an AP,
a_{7}a
7
= 2(7) -1 = 14 - 1 = 13
Hence, the 7th term of an AP, a_{7}=a
7
= 13.
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