Question

Find the correct relationship between p and q from the given table

$\begin{array}{cccccc}p& 1& 2& 3& 4& ...\\ q& 7& 11& 15& 19& ...\end{array}$

Answer 1

For p = 1, q = 7

q can be rewritten as $q=(4\times 1)+3=4p+3...\left(I\right)$

For p = 2, q = 11

q can be rewritten as $q=(4\times 2)+3=4p+3...\left(II\right)$

For p = 3, q = 15

q can be rewritten as $q=(4\times 3)+3=4p+3...\left(III\right)$

For p = 4, q = 19

q can be rewritten as $q=(4\times 4)+3=4p+3...\left(IV\right)$

From equation (I), (II), (III) and (IV), we get q = 4p + 3