Question

show that the following sequence is arthemtic. find the first term and the common difference an=3n+4. Proper steps will get brainliest.

Answer 1

Step-by-step explanation:

Step-by-step explanation:

a(n)= 3n+4

so, a(1)=3.1+4=7

a(2)=3.2+4=10

a(3)=3. 3+4=13

so ap= a(1),a(2),a(3),.......

ap=7,10,13,......

first term=7 andcomman diff.= 3

Answer 2

Answer:

an = 3n + 4

So

a1 = First term = 3 + 4 = 7

a2 = Second Term = 6 + 4 = 10

a3 = Third Term = 9 + 4 = 13

...............

Now

a2-a1 = 3

a3-a2 = 3

So a2-a1 = a3-a2

So difference is same

So there exist common difference ( = 3)

Hence an = 3n + 4 is an AP

First term = 7

Common difference = 3

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