Question

write the next four terms of the following sequence 1) 5,7,9,11.........

Answer 1

Answer:

13,15,17,19

.......

........

Answer 2

SOLUTION :

$the \: given \: series \: is \: in \: ap \\ \\ common \: difference \: (d) = a2 - a1 = 2 \\ \\first \: term(a) \: = 5 \\ \\ 5th \: term \: of \: ap = a + 4d = 5 + 4(2) = 13 \\ \\ 6th \: term \: of \: ap = a + 5d = 15 \\ \\ 7th \: term \: of \: ap = a + 6d = 17 \\ \\ 8th \: term \: of \: ap = a + 7d = 19$

∴ THE NEXT FOUR TERMS OF THE GIVEN AP IS 13 , 15 , 17 , 19