786, 663, 540, 417, 294, 171, __
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Answer:
48
Because it is a subtraction -123
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Next number is 48 in the series 786, 663, 540, 417, 294, 171, __
Next number is 123 less than previous number.
Tₙ = Tₙ₋₁ - 123 where n ∈ Z , n > 1 and T₁ = 786 or
Tₙ = 909 - 123n where n ∈ Z , n ≥ 1
Given:
- 786, 663, 540, 417, 294, 171, __
To Find:
- Next number in the series
Solution:
Step 1:
Understand the series
786
786 - 123 = 663
663 - 123 = 540
540 - 123 = 417
417 - 123 = 294
294 - 123 = 171
Next term is 123 less than previous term
Step 2:
Apply the same logic to find next term
171 - 123 = 48
Hence , Next number is 48
Additional Info:
Defining nth Term
Tₙ = Tₙ₋₁ - 123 where n ∈ Z , n > 1 and T₁ = 786
or
Tₙ = 909 - 123n where n ∈ Z , n ≥ 1
Next number is 48
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