Given below is the sequence of numbers 4, 7, 10, 13, 16, 19, 22... The first number in the sequence is 4 and the third number is 10. What will be the mth number in the sequence?
Answers
Step-by-step explanation:
Here it is
4+3=7
7+3=10
10+3=13
13+3=16
16+3=19
19+3=22
22+3=25
25+3=28
and so on...(add the numbers by 3 )
Hope.you.are.satisfied.
Answer:
3m+1
Step-by-step explanation:
Given :-
The sequence 4,7,10,13,16,19,22,...
To find :-
m th number
Solution :-
Given sequence is 4,7,10,13,16,19,22,...
First term (a) = 4
Second term (a2) = 7
Common difference (d) = 7-4 = 3
d = 10-7 = 3
d = 13-10 = 3
d = 16-13 = 3
d = 19-16 = 3
d = 22-19 = 3
Since the common difference is same through out the sequence , It is an Arithmetic Progression.
Therefore, 4,7,10,13,16,19,22... are in the AP.
We have,
a = 4
d = 3
We know that
nth term of an AP (an ) = a+(n-1)d
Now,
mth term of the given AP
=> am = a+(m-1)d
=> am = 4+(m-1)(3)
=> am = 4+3m-3
=> am = (4-3)+3m
=> am = 1+3m
Therefore, am = 3m+1
Answer:-
mth term of the given AP is 3m+1
Used formulae:-
→ nth term of an AP (an ) = a+(n-1)d
- a = First term
- d = Common difference
- n = Number of terms
Used Concept:-
If the common difference is same throughout the sequence then it is an Arithmetic Progression.