Answer:
The twentieth term of the sequence is 98.
Step-by-step explanation:
The given sequence is 3, 8 , 13, 18 , ...
Any given sequence is said to be in Arithmetic Progression, if the difference between any two consecutive terms is always same.
Now here :
Second term - First term = 8 - 3 = 5
and Third term - Second term = 13 - 8 = 5
since the difference (d) = 5 is same in both cases, the given sequence is an AP.
Now, general term of an AP is [tex]a_{n} = a+ (n-1) d[/tex]
Here, n = 20 and d =5 and a = 3
So, [tex]a_{20} = 3+ (20-1) (5)[/tex] = 3 + 19(5) = 98
So, the twentieth term of the sequence is 98.
