Find 11th term of the AP-3,-1/2,2

1.	Find 11th term of the AP-3,-1/2,2
Answer» 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.

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