Question

plz tell me answer plz​

Answer 1

Step-by-step explanation:

Given:-

\begin{gathered}\tt \blacktriangleright a_{5}=-9 \\\\ \blacktriangleright a_{9}=7\end{gathered}

▶a

5

=−9

▶a

9

=7

To find:-

\tt \blacktriangleright a_{14}▶a

14

Solution:-

ATQ,

\tt a_{5}= -9 = a+4d\rightarrow\rightarrow\rightarrow\rightarrow\rightarrow(1)a

5

=−9=a+4d→→→→→(1)

\tt a_{9}= 7 = a+8d\rightarrow\rightarrow\rightarrow\rightarrow\rightarrow(2)a

9

=7=a+8d→→→→→(2)

Solving, equation 1 and 2

d = 4

a = -25

Finding a14

\begin{gathered}\tt a_{14}= a+13d\\\\=-25+13(4)\\\\=-25+52\\\\=27\end{gathered}

a

14

=a+13d

=−25+13(4)

=−25+52

=27

So, a14(14th term) is 27.