Question

Find the sum of 5+8+11+...to 10 terms using the formula​

Answer 1

Answer:

see the attached document for your answer

Answer 2

$\huge\boxed{\underline{\mathcal{\red{A}\green{N}\pink{S}\orange{W}\blue{E}\pink{R}}}}$

$<font color= red>$ɢɪᴠᴇɴ ⠀⠀ᴀᴘ :-$<font color= magenta>$

$5 + 8 + 11.......10 \: terms$

$<font color= red>$ʜᴇʀᴇ ,$<font color= black>$ a = $<font color= magenta>$$5$

$<font color= black>$n =$<font color= magenta>$ $10$

$<font color= black>$d = $<font color= magenta>$$3$

$<font color= red>$10ᴛʜ ᴛᴇʀᴍ =

$<font color= black>$ $<font color= skyblue>$a + (n - 1) d

$= 5 + (10 - 1) \: 3$

$= 5 + 9 \: (3)$

$= 5 + 27$

$<font color= red>$ᴛʜᴇʀᴇғᴏʀᴇ, ᴛʜᴇ ⠀10ᴛʜ ᴛᴇʀᴍ$<font color= magenta>$ = $32$

$<font color= red>$sᴜᴍ ᴏғ 10 ᴛᴇʀᴍs, = $<font color= skyblue>$

$\frac{n}{2} \: (a \: + 10th \: term)$

$= \frac{10}{2 } (5 + 32)$

$= 5(37)$

$= 185$

$<font color= red>$ᴛʜᴇʀᴇғᴏʀᴇ⠀ᴛʜᴇ -ɢɪᴠᴇɴ -ᴛᴇʀᴍs ,ɪs = $<font color= magenta>$185