CBSE BOARD X, asked by dhillondhillon437, 9 months ago

find the sum of first 22 terms of the ap 8, 3, -2

Answers

Answered by brainlyaryan12
7

<body bgcolor="r"><font color =Yellow>

\huge{\orange{\fbox{\fbox{\blue{\bigstar{\mathfrak{\red{Hello\:Mate}}}}}}}}

<marquee scrollamount = 700>♥️♥️♥️</marquee><marquee scrollamount = 500>⭐⭐⭐</marquee>

\huge{\red{\underline{\overline{\mathbf{Question}}}}}

→find the sum of first 22 terms of the ap 8, 3, -2

\huge{\green{\underline{\overline{\mathbf{Answer}}}}}

⇒Given:

  • ⇒a = 8
  • ⇒d = 3-8 = -5
  • ⇒n = 22

⇒To Find:

  • S_{22}=?

Solution:- (Using Formula)

S_{22}=\frac{{\cancel{22}}^{\large{11}}}{{\cancel{2}}}\bigg(2\times 8+(22-1)\times -5\bigg)

S_{22}=11\bigg(16-105\bigg)

S_{22}=-89\times 11

\huge{\pink{\overbrace{\underbrace{\red{Ans=-979}}}}}

≿━━━━━━━━━༺❀༻━━━━━━━━━≾

Formulas Used :-

  • S_n=\frac{n}{2}\big(2a+(n-1)d\big)

≿━━━━━━━━━༺❀༻━━━━━━━━━≾

\huge{\purple{\bigstar{\blue{\text{Please Follow.. }}}}}<marquee scrollamount = 700>⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️</marquee>

<font color = lime><marquee scrollamount = 10

★━★━★━★━★━★━★━★━★━★━★━★━★━★

▁ ▂ ▄ ▅ ▆ ▇ █♥️ ᗩᖇƳᗩ ♥️█ ▇ ▆ ▅ ▄ ▂ ▁

★━★━★━★━★━★━★━★━★━★━★━★━★━★

Answered by lipikag979
1

since the first term and common difference can be found out

so we can find out the 22nd ten i.e. the last term(l)

and by using formula we can find the sum

Attachments:
Similar questions