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Add sequences of numbers in the 20's
Choose a 2-digit number in the 20's. To add all the 20's
from 20 up through this number and down from it:
Square the 2nd digit of the number
(keep the carry) _ _ X
The number of terms is 2 x the 2nd digit + 1.
Multiply the number of terms by 2 (+ carry). X X _
Example:
If the 2-digit number in the 20's selected is 23:
(20 + 21 + 22 + 23 + 22 + 21 + 20)
Square the 2nd digit of the number: 3 x 3 = 9 _ _ 9
No. of terms = 2 x 2nd digit + 1: 2 x 3 + 1 = 7
2 x no. of terms: 2 x 7 = 14 1 4 _
So the sum of the sequence is 149.
See the pattern?
If the 2-digit number in the 20's selected is 28:
(20 + 21 + 22 ... + 28 + 27 + ... 22 + 21 + 20)
Square the 2nd digit of the number: 8 x 8 = 64
(keep carry 6) _ _ 4