Question

Find the n
the term of the following AP!
Find the 20th term the Ap 7,10,13,16​

Answer 1

Given :-

AP of terms

7, 10 , 13 , 16

To Find

We have to find the 20th term of AP

Solution :-

By using the formula

$\underline{\boxed{\sf\ T_n= a+(n-1)d}}$

We have :-

• a= 7
• n=20
• d= 10-7= 3

By putting these values in the formula

$\longrightarrow\sf\ \ T_{20}= 7+(20-1)3\\ \\ \\ \longrightarrow\sf\ \ T_{20}= 7+19\times 3\\ \\ \\ \longrightarrow\sf\ \ T_{20}= 7+57\\ \\ \\ \longrightarrow\sf\ \ T_{20}= 64$

$\therefore{\underline{ \dag{\purple{\sf\ The\ 20th\ term\ of\ AP\ is \ 64}}}}$

Some other formula Related AP:-

$\bullet\sf\ T_n= T_n-T_{n-1}\\ \\ \\ \bullet\sf\ \ S_n= \dfrac{n}{2}\Big(a+\ell\Big)\\ \\ \\ \bullet\sf\ \ T_n= S_n-S_{n-1}$

Answer 2

Answer:

Question:-

➠Find the n

the term of the following AP!

Find the 20th term the Ap 7,10,13,16

Given:-

AP of terms

7, 10, 13, 16

Find:-

➤ 20th the term of AP = ?

Formula to be used

Tⁿ = a+( n - 1 ) d

We Are Having :-

1. a = 7
2. n = 20
3. d = 10 - 7 = 3

✪ Now Putting the values in the above formula

$↦ \underline{ \boxed{ \sf{</p><p>\underline{\boxed{\sf\ \blue{ T_{20}} \red{=} \bf \pink {7+(20-1)3}}}}}}</p><p>$

$↦ \underline{ \boxed{ \sf{</p><p>\underline{\boxed{\sf\ \blue{ T_{20}} \red{=} \bf \pink {7+19 \times 3}}}}}}</p><p>$

$↦ \underline{ \boxed{ \sf{</p><p>\underline{\boxed{\sf\ \blue{ T_{20}} \red{=} \bf \pink {7+57}}}}}}</p><p>$

$↦ \underline{ \boxed{ \sf{</p><p>\underline{\boxed{\sf\ \green{ T_{20}} \green{ \bigstar} \pink{=} \bf \purple {64 \purple{\bigstar}}}}}}} </p><p>$

\therefore \underline \dag \sf \: \underline \pink {The \: 20th \: term \: of \: AP \: is \: 64}

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