Question
Find the first term and common difference for each of the A.P.
$5, 1, – 3, – 7, . . .$
$5, 1, – 3, – 7, . . .$
✓
Answer
$5, 1, – 3, – 7, . . .$
First term $a_1 = 5$
Second term $a_2 = 1$
Third term $a_3 = – 3$
We know that $d = a_{n + 1} – a_n$_
Thus, $d = a_2 – a_1 = 1 – 5 = – 4$
Hence, the common difference $d = – 4$ and first term is $5$
First term $a_1 = 5$
Second term $a_2 = 1$
Third term $a_3 = – 3$
We know that $d = a_{n + 1} – a_n$_
Thus, $d = a_2 – a_1 = 1 – 5 = – 4$
Hence, the common difference $d = – 4$ and first term is $5$
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