Question

find
11th term of the AP-3,-1/2,2​

Answer 1

Answer:

this is not AP.Because the difference is not constant

Answer 2

Given :-

• First term (a) = -3

• Common difference (d) = -1/2 - (-3) = -1/2 + 3 = -1 + 6/2 = 5/2

• n = 11

To find :-

• 11th term of AP = ?

Solution :-

By using formula of an,

we know that,

$\blue{\bigstar}\:\:{\underline{\boxed{\bf\red{a_n=a+(n-1)d}}}}$

$\rm\longrightarrow\:a_n=-3+(11-1)\times\dfrac{5}{2}$

$\rm\longrightarrow\:a_n=-3+10\times\dfrac{5}{2}$

$\rm\longrightarrow\:a_n=-3+5\times{5}$

$\rm\longrightarrow\:a_n=-3+25$

$\rm\longrightarrow\:a_n=22$

Hence,the 11th term of AP will be 22,

More Information :-

Formula to find Sn :-

Sn = n/2 [2a + (n - 1)d]

AP :- A sequence in which each term differs from its preceding term by a constant is called an arithmetic progression or AP.

• This Constant is called the common difference of the AP.