Answer:
thus next three terms are -3,-5,-7
Step-by-step explanation:
a=1
first find d
-1-1
-2
then a.p= a,a+d,a+2d,a+3d,a+4d
=1,1-2,1+2×-2,1+3×-2,1+4×-2
=1,-1,1-4,1-6,1-8
=1,-1,-3,-5,-7
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The given series 1, -1,... is arithmetic progression series whose pattern is a, a +d, a + 2d, a + 3d + a + 4d , ....
The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression is more often used, for instance in the sum of natural numbers.
1, 2, 3, 4, 5, 6, 7, and 8 are natural numbers.
The difference between any two subsequent terms is now the same: d = 2-1 = 3-2.
Given,
1 , -1 , ...
If we subtract the second term from first
-1 - 1 = -2
So, a common difference between the series will be -2
Now,
Third term = a + 2d = 1 + 2 (-2) = -3
Fourth term = a + 3d = 1 + 3 (-2) = -5
Fifth term = a + 4d = 1 + 4 (-2) = -7
Hence the general rule will be a, a +d, a + 2d, a + 3d + a + 4d , ....
For more about Arithmetic progression
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