Question

the nth term of an Ap is 3n+4 is the pattern of numbers so formed in AP if so find it's fifth term​

Answer 1

Answer:

Step-by-step explanation:

General Term of A.P. => 3n+4

For n = 1,

T1 = 3+4=7

For n = 2,

T2 = 6+4=10

For n = 3,

T3 = 9+4=13

If the common difference between the tems is same then this is an A.P.

=> T3 -T2  =  T2   - T1

=>  13-10  =  10-7

=> 3 = 3

Hence, this is an A.P.

T5 = 15+4 =19

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Answer 2

Step-by-step explanation:

Question :-

• The nth term of an Ap is 3n+4 is the pattern of numbers so formed in AP if so find it's fifth term.

Given :-

• The nth term of an Ap is 3n+4

• The pattern of numbers so formed in AP

To Find :-

• Find it's fifth term

Nth term of an AP with first term being a and common difference = d is a + (n-1) × d

putting all values :-

=> 3n+4 = a-d + nd

Comparing terms

we get

d=3 and a-d=4

.=> a=7

5th term = a+4d

= 7 + 4 × 3

= 19

Ans :- 19

The fifth terms is 19 .