How to find missing terms of Linear (Arithmetic) Sequence if any TWO CONSECUTIVE TERMS are given
QUESTION: Find the missing terms of the following linear(arithmetic) sequence
____, ____, 61, 52, ………
SOLUTION:
STEP 1: Find Term-to-Term Rule.
The formula for nth term of a Linear(Arithmetic) Sequence is:
nth term = First term + (n – 1) × Term-to-Term Rule——–(1)
where n = 1, 2, 3, …… gives us the position of terms of sequence.
Now,
Third term = 61 (given)
Fourth term = 52 (given)
Term-to-term Rule = Fourth term – Third term ⇒ 52 – 61 = -9
Thus Term-to-Term Rule is “Subtract 9”.
STEP 2: Apply Term-to-Term Rule and find the missing terms.
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