what are next two numbers for 68,62,56
Answers
Answer :
50 and 44 are the required terms
Step-by-step explanation:
The given sequence is an Arithmetic Progression. It is a sequence of numbers in which common difference between two consecutive terms is always constant throughout every term.
The given sequence is 68, 62, 56 and We have to find next two terms.
We have a general form of nth term of AP as, an = a + ( n - 1 ) d.
Here,
- an = nth term
- a = First term
- d = Common difference
- n = Number of terms
We have to find the 4th and 5th term of sequence.
First term, a = 68
Common difference = 2nd term - 1st term
Common difference = a2 - a1
Common difference = 62 - 68
Common difference = -6
• Finding the required terms :-
an = a + ( n - 1 ) d
a4 = 68 + ( 4 - 1 ) ( -6)
a4 = 68 + (3)(-6)
a4 = 68 - 18
a4 = 50
an = a + ( n - 1 ) d
a5 = 68 + ( 5 - 1 ) ( -6)
a5 = 68 + (4) ( -6)
a5 = 68 - 24
a5 = 44
So the required next two terms of the given sequence are 50 and 44.
Answer:
50 and 44
Step-by-step explanation:
68-6=62, 62-6=56, 56-6=50, 50-6=44
Therefore the next two numbers for 68, 62,56 is 50 and 44