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Combination of Sequence | B.Stat Objective | TOMATO 79

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Combination of Sequence. You may use sequential hints.

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Combination of Sequence.

Logic and combination of sequence (B.Stat Objective)

The two sequence of numbers {1,4,16,64,…..} and {3,12,48,192,…..} are mixed as follows {1,3,4,12,16,48,64,192,….}. One of the numbers in the mixed series is 1048576. Then the number immediately preceeding it is

• 262144
• 786432
• 814572
• 786516

Key Concepts

Logic

Sequence

Integers

But try the problem first…

Source

B.Stat Objective Question 79

Challenges and Thrills of Pre-College Mathematics by University Press

Try with Hints

First hint

The first series is of form $$4^{r}$$ for $$r \geq 0$$ $$r \in$$ set of natural numbers the second series is of form $$3 \times 4^{r}$$ for $$r \geq 0$$ $$r \in$$ set of natural numbers and the third series is of $$4^{r}$$,$$3 \times 4^{r}$$ in alternate element form for $$r \geq 0$$ $$r \in$$ set of natural numbers

Second Hint

given that 1048576=$$4^{r}$$=$$4^{10}$$

Final Step

then preceeding term $$3 \times 4^{9}$$=(3)(262144)=786432.