Question
Find the 24th term of the sequence: 12, 10, 8, 6,…
✓
Answer
The given sequence is 12, 10, 8, 6, ....
Now
10 - 12 = -2
8 - 10 = -2
6 - 8 = -2, etc
Hence the given sequence is an A.P. with first term a = 12 and common difference d = -2
The general term of an A.P is given by
$t_n=a+(n-1) d$
$\Rightarrow t_{24}=12+(24-1)(-2)=12+23 \times(-2)=12-46=-34$
So the 24th term is -34
Now
10 - 12 = -2
8 - 10 = -2
6 - 8 = -2, etc
Hence the given sequence is an A.P. with first term a = 12 and common difference d = -2
The general term of an A.P is given by
$t_n=a+(n-1) d$
$\Rightarrow t_{24}=12+(24-1)(-2)=12+23 \times(-2)=12-46=-34$
So the 24th term is -34
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