Question

n th term of an AP is given by 5n-3. Find the AP.​

Answer 1

Answer:

2,7,12,17,22...

Step-by-step explanation:

n=1,2,3,4,5,..

Answer 2

Step-by-step explanation:

$\blue{ \underline{ \bf{ QUESTION} : - }}$

n th term of an AP is given by 5n-3. Find the AP.

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$\boxed{ \huge{ \bold{ Given}}}$

• n = 5n-3

$\boxed{ \huge{ \bold{ to \: find}}}$

• Find the Arithmetic progression

$\star{ \pink{ \underline{ \underline{Ｓｏｌｕｔｉｏｎ : - }}}}$

$\bold{ \huge{ \purple{ \sf{n = 5n - 3}}}}$

• PUTING( n = 1 )Given Sequence

$\implies{ \bold{n(1) = 5 \times 1 - 3}}$

$\implies{ \bold{n(1) = 5 - 3}}$

$\implies{ \bold{n(1) = 2}}$

$\boxed{ \red {\bold{ \therefore{a1 = 2}}}}$

• PUTING( n = 2 )Given Sequence

$\implies{ \bold{n(2) = 5 \times 2 - 3}}$

$\implies{ \bold{n(2) = 10 - 3}}$

$\implies{ \bold{n(2) = 7}}$

$\boxed{ \red {\bold{ \therefore{a2 = 7}}}}$

• PUTING( n = 3 )Given Sequence

$\implies{ \bold{n(3) = 5 \times 3 - 3}}$

$\implies{ \bold{n( 3) = 15 - 3}}$

$\implies{ \bold{n(3) = 12}}$

$\boxed{ \red {\bold{ \therefore{a3 = 12}}}}$

$\overbrace{ \huge{ \sf{\green{A.P = 2,7,12}}}}$

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$\bold{ \huge{ \underline {VeRiFiCaTioN : - }}}$

$\bold{ d = a2 - a1}$

$\implies{d = 7 - 2 = 5}$

• Common Difence =5

So,

proved A.P = 2, 7 ,12

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MORE INFORMATION ABOUT A.P. ➔

• A.P means Arithmetic progression

• an = the nᵗʰ term in the sequence

• a1 = the first term in the sequence

• d = the common difference between terms

Important Formula A.P ➔

• an = a1 + (n-1) d

• d =a2- a1

• Sn = n/2 [ 2a+ (n-1) d ]

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