Question

Write the next 2 terms of the AP: -4, -1/2, 3​

Answer 1

Answer:

Next two terms of this Ap are 6.5 and 10

Step-by-step explanation:

Answer 2

Given:

AP series:

$-4,- \frac{1}{2},3$

To find:

the next 2 terms

Solution:

$a=-4$,

$d=-\frac{1}{2}-(-4)$

$=-\frac{1}{2} +4$

$=4-\frac{1}{2}$

$=\frac{8-1}{2}$

$=\frac{7}{2}$

Therefore,

$a=-4, d=\frac{7}{2}$

$t_{n}=a+(n-1)d$

So, 4th term

$t_{4}=-4+(4-1)$×$\frac{7}{2}$

$=-4+\frac{21}{2}$

$=\frac{21}{2}-4$

$=\frac{21-8}{2}$

$=\frac{13}{2}$

$=6\frac{1}{2}$

5th term,

$t_{5}=-4+(5-1)$×$\frac{7}{2}$

$=-4+14$

$=10$

Hence the next two terms are  $6\frac{1}{2}$  and $10$.