Question

Q02. Next term of the AP-9, 11, 13, 15, is:

(a) 20

(b) 17

(c) 18

(d) 19​

Answer 1

Step-by-step explanation:

A=9

Common difference = A2-A1 and A3-A2

11-9=2

13-11=2 Common difference =2

A4=15

A5=15+2=17

Answer 2

Answer:

${\large{\underline{\sf{Solution-}}}}$

Terms of AP are -9, 11 , 13 , 15

We Have to find 5th term of AP

From Question,

• First term (a) = 9

• Common Difference = 2

• n = 5

Formula,

${\longrightarrow{\sf{ a_{n} = a + (n - 1)d }}}$

Now,

${\longrightarrow{\sf{ a_{5} = 9 + (5 - 1)2}}}$

${\longrightarrow{\sf{ a_{5} = 9 + (4)2}}}$

${\longrightarrow{\sf{ a_{5} = 9 + 8}}}$

${\longrightarrow{\sf{ a_{5} = 17}}}$

${ \therefore{ \underline{ \sf{ \pmb{ Next \: Term \: of \: AP \: is \: 17}}}}}$

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