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Question
Find the next term of the sequence:−25,−23,−21,−19,..........
−25,−23,−21,−19,..........
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Solution
The correct option is D −17
Given sequence is −25,−23,−21,−19,..........Here, t1=−25,t2=−23,t3=−21,t4=−19t2=−25+1×2=−23
t3=−25+2×2=−21
t4=−25+3×2=−19
Clearly it is an AP with first term a=−25 and common difference d=2
tn=a+(n−1)d
∴t5=−25+4×2=−17
Hence, the answer is −17.
Given sequence is −25,−23,−21,−19,..........
Here, t1=−25,t2=−23,t3=−21,t4=−19
t2=−25+1×2=−23
t3=−25+2×2=−21
t4=−25+3×2=−19
Clearly it is an AP with first term a=−25 and common difference d=2t3=−25+2×2=−21
t4=−25+3×2=−19
tn=a+(n−1)d
∴t5=−25+4×2=−17
Hence, the answer is −17.
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