5) 818, 828, 903, _, __ What is the pattern?
Answers
Answer:
1043
Step-by-step explanation:
first DIFFERENCE between 818 and 828 is 10 then the difference between 828 and 903 is 75 and the difference between 10 and 75 is 65 and the sum between 903+65+75= 1043
Given:
818, 828, 903, _, __
To find:
The pattern using which the given series is formed.
Solution:
From given, we have,
First term = 818
Second term = 828
Third term = 903
The difference between the second term and the first term is,
828 - 818 = 10
⇒ 5 × 2 = 10
The difference between the third term and the second term is,
903 - 828 = 75
⇒ 5 × 15 = 75
Therefore, the difference is,
15 - 2 = 13
5 × (15 + 13) = 5 × 28 = 140
The forth term is,
903 + 140 = 1043.
Similarly, the fifth terms is given by,
5 × (28 + 13) = 5 × 41 = 205
1043 + 205 = 1248
818, 828, 903, 1043, 1248.........