Write first four terms of the AP, when the first term a and the common difference d are
given as follows
(iii) a = 4, d = – 3
Answers
Answered by
10
An = a+(n-1)d
A1 = 4+(1-1)(-3) = 4
A2 = 4+(2-1)(-3) = 1
A3 = 4+(3-1)(-3) = 4-6 = -2
A4 = 4+(4-1)(-3) = 4-9 = -5
Answered by
3
First term = a = 4
Common difference = d = -3
No of terms = n = 4
thus,
the nth term, an = a+ (n-1)d
=> 4 + (n-1) -3
=> 4 -3n +3
=> 7 -3n
the fourth term = a4
=>7 - 3(4)
=> 7 -12
=>-5
the third term = a3
=>7 -3(3)
=>7 -9
=> -2
the 2nd term = a2
=> 7 - 3(2)
=>7 -6
=> 1
the first term = a
=> 4
thus, the first 4 terms are:
4, 1, -2, -5
Alternative method:
first term = a
=> 4
second term = a+d
=> 4 -3
=> 1
third term = a+2d
=> 4 -6
=> -2
fourth term = a+ 3d
=> 4- 9
=> -5
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