For the following APs, write the first term and the common difference: (i) 3,1,−1,−3,.... (ii) −5,−1,3,7,..... (iii) 13,53,93,133,.... (iv) 0.6,1.7,2.8,3.9,...
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Solution
(i) 3,1,−1,−3… Here, first term, a=3 Common difference, d=Second term − First term d=1−3=−2 (ii) −5,−1,3,7… Here, first term, a=−5 Common difference, d=Second term − First term d=(−1)−(−5)=−1+5=4
(iii) 13,53,93,133 Here, first term, a=13
Common difference, d= Second term − First term
d=53−13=43
(iv) 0.6,1.7,2.8,3.9… Here, first term, a=0.6 Common difference, d= Second term − First term d=1.7−0.6 =1.1