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Question
Write the next four terms of the given A.P 0,−3,−6,−9
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Solution
In the given progression is −3,−6,−9......., the first term a1=−3, second term a2=−6 and third term a3=−9. So, the difference between the two terms of the given progression is:
d=a2−a1=−6−(−3)=−6+3=−3
Therefore, the next four terms of the arithmetic progression are:
a4=a3−3=−9−3=−12
a5=a4−3=−12−3=−15
a6=a5−3=−15−3=−18
a7=a6−3=−18−3=−21
Hence, the next four terms are −12,−15,−18 and −21.
d=a2−a1=−6−(−3)=−6+3=−3
Therefore, the next four terms of the arithmetic progression are:
a4=a3−3=−9−3=−12
a5=a4−3=−12−3=−15
a6=a5−3=−15−3=−18
a7=a6−3=−18−3=−21
Hence, the next four terms are −12,−15,−18 and −21.
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