Question

8. First term of an arithmetic progression is 8, n
th
term is 33 and sum of first n terms is 123, then
find n and common difference d.​

Answer 1

Answer:

please Mark as brilliant answer

Answer 2

If the first term is 'a' and the Common difference is 'd' then the formula to calculate the sum of n terms of an Arithmetic Progression is${\underline{\red{\sf{\dfrac{n}{2}2a+(n -1)d}}}}.$

$\huge{\boxed{\sf \green{Solution:}}}$

$\: \: \: \: \: \: \: \: \: \large{ \blue \maltese \: \sf{More\;Formulas}} \: \blue \maltese$

$\begin{gathered} \sf \pink{1) \: n^{th}\; term\; of \: AP \: with \: Last \: term = a_n = a + \bigg\lgroup n - 1\bigg\rgroup d}\\\\\end{gathered}$

$\begin{gathered}\sf \orange{2) \;Sum \;of\;AP \;with\; Last \;term = S_n = \dfrac{n}{2}\bigg\lgroup a + l\bigg\rgroup}\\\\\end{gathered}$

$\begin{gathered}\textsf { \color{navy}{3) Form of AP = a, a + d, a + 2d, a + 3d...}}\\\\\end{gathered}$

• Basically, Arithmetic Progression (AP) is a sequence of term in order where the Common difference of any two terms will be Constant.
• To Calculate Common Difference 'd' of an AP (Arithmetic Progression) subtract second term from first term of the AP $\sf{a_2 - a_1 = d}.$

Thank you!

@itzshivani