Question

from the following progression find the terms specified
(a.)3/2,7/2,11/2....... find 86th term​

Answer 1

Step-by-step explanation:

$\huge{\underline{\underline{\mathbb{\purple{answer:-}}}}}$

$\frac{3}{2} \: \: \: \frac{7}{2} \: \: \: \frac{11}{2} \: are \: in \: ap$

$d \: = \: \frac{7 }{2} - \frac{3}{2} = \frac{4}{2} = 2$

$a \: = \frac{3}{2} \: and \: n = 86$

$86th \: term \: = a \: + (n - 1)d$

$86th \: term \: = \frac{3}{2} + (86 - 1)2$

$86th \: term \: = \frac{3}{2} + (85 \times 2)$

$86th \: term \: = \frac{3}{2} + 170 = \frac{343}{2}$

therefore,

$86th \: term \: = \frac{343}{2}$