4,13,43,?,89
Find the missing number.
Answers
Answer:
52
the answer is correct
For this sum, we have to follow the method, stating bellow:-
The nth term for the given sequence is 2n^2 + 3n - 1.———— ((1))
Let us put n=1 in ((1))
then we have 2 ×(1)²+3×1–1
=[ 2+3–1]
=4
Put n=2 in ((1)) then we have[ 2×(2)²+3×2–1]
=[8+6–1]
=13.
Put n=3 in ((1)) then we have [2×(3)²+3×3–1]
= [18+9–1]
=26.
Now let,s put n = 4
then we have ,[ 2× ( 4 )²+ ( 3×4)-1]
⇒ [(2×16 + 12)-1]
⇒( 32 + 12) -1
⇒(44-1)
⇒43
Now let,s put n= 5
then we have ,[ 2× ( 5 )²+ ( 3×5)-1]
⇒ [ (2 × 25) + 15 -1]
⇒[ (50 + 15 )-1]
⇒( 65 -1)
⇒ 64
n= 6
then we have ,[ 2× ( 6 )²+ ( 3×6)-1]
⇒[(2× 36) + 18 -1]
⇒[ (72 + 18)-1]
⇒( 90 -1)
⇒89
Hence the missing number will be 64.
4,13,26,43,64,89
Ans :- The missing number will be 64.
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