What is the First Number of the Sequence?

If a number in a numeric sequence is 17 and the second number is 3, what is the first number?

I hesitated to add this because it’s poorly worded, ambiguous and the answer could be almost anything. I prefer teasers with a single answer, but there you go.

If you came up with a different answer and can explain how you did it, don’t think you’re wrong. It’s probably just as valid. Feel free to share yours in the comments.

My answer for the first number is 2.

Here’s how I got it.

The generic rule for a number in the sequence is: 2^(n – 1) + 1, where n is the position in the sequence.

Note: The teaser doesn’t specify the position of 17. In this case, it’s fifth.

Position 1: (so n = 1) is 2^(1 – 1) + 1 = 2

Position 2: 2^(2 – 1) + 1 = 3

Position 3: 2^(3 – 1) + 1 = 5

Position 4: 2^(4 – 1) + 1 = 9

Position 5: 2^(5 – 1) + 1 = 17

For the curious, the next 5 numbers of the sequence would be:

Position 6: 2^(6 – 1) + 1 = 33

Position 7: 2^(7 – 1) + 1 = 65

Position 8: 2^(8 – 1) + 1 = 129

Position 9: 2^(9 – 1) + 1 = 257

Position 10: 2^(10 – 1) + 1 = 513

Posted in Brain Teasers

Beach Vogue

What word can be made from three letters of beach and another three from vogue?

Gauche. The letters “ach” from beach and “gue” from vogue.

Posted in Brain Teasers

Another Name for Shiva

My first three is another name for the Hindu god Shiva.
My last four create something to wear.
Together I might use a scythe.

What am I?

Harvest.

Har is another name for Shiva.
A vest is something you wear.
And a harvest might use a scythe.

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The Barber of Seville

The Barber of Seville shaves all men living in Seville.
No man living in Seville is allowed to shave himself.
The Barber of Seville lives in Seville.

Who shaves the Barber of Seville?

Nobody. The Barber of Seville is a woman. Female barbers are rare, but they exist.

And for more fun with barbers, check out the Barber paradox.

Posted in Brain Teasers

The Tortoise, Onion and Tomato

What is three-eighths tortoise, two-fifths onion and two-sixths tomato?

Toronto

3/8 tortoise = TOR (the first three letters)
2/5 onion = ON (the first two letters)
2/6 tomato = TO (the first two letters)

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A Box Without Hinges

A box without hinges, key or lid,
Yet golden treasure inside is hid.

What is it?

An egg.

(From J.R.R. Tolkien’s The Hobbit)

Posted in Riddles

Leave a Grieving Wife

If you throw me from the window,
I’ll leave a grieving wife.
Bring me back, but in the door and,
You’ll see something giving life.

What am I?

The answer is the letter ‘n’. Taking ‘n’ out of window makes widow. And putting ‘n’ back into door makes donor.

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4 Is Cosmic

1 is 3,
3 is 5,
5 is 4,
4 is cosmic.

What is 6? And what is meant by cosmic?

6 is 3 of course. Because six has three letters.

One = three letters
Three = five letters
Five = four letters
Four = four letters

Cosmic is a number that has the same number of letters as the value. Four is the only number I’m aware of that has this property.

Posted in Brain Teasers

Company, Congregation or Convocation

Some form a parliament,
Others a company, congregation or convocation,
The mob can see a murder, or clamor and wake,
A bouquet is presented when flushed.

What are we?

Birds. These are collective nouns for groups of birds.
parliament – owls
company – parrots
congregation – plovers
convocation – eagles
mob – emus
murder – crows clamor – rooks
wake – buzzards
bouquet – pheasants (when flushed)

Posted in Riddles

What Goes In the Water Red?

What goes in the water red
And comes out black?

Iron

Posted in Riddles