Question
Find the common difference of the A.P. and write the next two terms:
$1.8, 2.0, 2.2, 2.4, .....$
$1.8, 2.0, 2.2, 2.4, .....$
✓
Answer
$1.8, 2.0, 2.2, 2.4, .....$
Let $a_1 = 1.8, a_2 = 2.0, a_3 = 2.2, a_4 = 2.4$
$\therefore$ $a_2 - a_1 = 2.0 - 1.8 = 0.2$
$a_3 - a_2 = 2.2 - 2.0 = 0.2$
$a_4 - a_3 = 2.4 - 2.2 = 0.2$
$\therefore$ Common difference $= 0.2$
and text two terms will be,
$a_5 = 2.4 + 0.2 = 2.6$
$a_6 = 2.6 + 0.2 = 2.8$
$\therefore$ Next two terms are $2.6, 2.8.$
Let $a_1 = 1.8, a_2 = 2.0, a_3 = 2.2, a_4 = 2.4$
$\therefore$ $a_2 - a_1 = 2.0 - 1.8 = 0.2$
$a_3 - a_2 = 2.2 - 2.0 = 0.2$
$a_4 - a_3 = 2.4 - 2.2 = 0.2$
$\therefore$ Common difference $= 0.2$
and text two terms will be,
$a_5 = 2.4 + 0.2 = 2.6$
$a_6 = 2.6 + 0.2 = 2.8$
$\therefore$ Next two terms are $2.6, 2.8.$
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