Question

From arithmetic ,
a=3 n=8 Sn=192 d=?

Answer 1

Answer:

d=4/3

Step-by-step explanation:

by using sum fomula and we will all value which are given in question and we easy we get value of D.

Answer 2

$\huge \bold \color{green}{ \underline{ \underline \red{required \: answer :-}}}$

given :-

a = 3

n = 8

Sn = 192

we have to find value of d

solution :-

We know that.

$\bold{ s_{n} = \frac{n}{2} \{2a + (n - 1)d \}}$

$\implies \: 192 = \frac{8}{2} \{2 \times 3 + (8 - 1)d \} \\ \\ \implies \: 192 = 4 \{6 + 7d \} \\ \\ \implies \: \frac{192}{4} = 6 + 7d \\ \\ \implies \: 48 = 6 + 7d \\ \\ \implies \: 48 - 6 = 7d \\ \\ \implies \: 7d = 42 \\ \\ \implies \: d = \frac{42}{7} \\ \\ \implies \: d = 6$

so common difference is 6

$\bold{ \underline{ \underline{for \: more \: information: }}}$

• a = first term
• s = sum of terms
• d = common difference
• n = term number
• l = last term

$d = a_{n} - a_{n - 1} \\ \\ a_{n} = a + (n - 1)d \\ \\ s_{n} = \frac{n}{2} \{2a + (n - 1)d \} \\ \\ s_{n} = \frac{n}{2} (a + l)$