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

Pleased With Their Death

Beulah died in the Appalachians while Craig died at sea. Everyone was much happier with Craig’s death. Why?

Beulah and Craig were hurricanes.

Posted in Brain Teasers

The Most Impressive Boundary

The most impressive boundary’s not a wall.
It’s not a manufactured thing at all.
Moving towards it won’t reduce the gap
and nothing marks its presence on a map.

The horizon.

By Sef Daystrom

Posted in Riddles

I Can Be Quick, And Then I’m Deadly

I can be quick and then I’m deadly,
I am a rock, shell and bone medley.
If I was made into a man, I’d make people dream,
I gather in millions by ocean, sea and stream.

Sand. Quicksand is deadly (at least in movies). Sand is made up of rocks, shells and bones. The sandman visits you when you dream (again, according to legend, I’ve never seen him…) and there is plenty of sand in the oceans, seas and streams.

Posted in Riddles
Tagged with

Break, Light, May

What word can be added before or after these words to make a new word or phrase?

Break, Light, May

Day. Daybreak, daylight, may day.

Posted in Riddles

854917632

What is special about the number 854917632?

It is the numbers from 1 to 9 in alphabetical order.

Eight
Five
Four
Nine
One
Seven
Six
Three
Two

Posted in Riddles

Mario’s Racing Grandma

Mario is testing out a new car at the racetrack. His grandmother took it for a mile lap and averaged 30mph. How fast does Mario have to drive in the second lap to average 60mph for the two miles?

90mph is an alluring answer, but it’s impossible. At 90mph the second lap would take 40 seconds. If Grannie’s first lap at 30mph took 2 minutes, traveling 2 miles in 2 minutes and 40 seconds is an average speed of 45mph. Traveling an average speed of 60mph for 2 miles would take 2 minutes and since the grandma’s lap took all of those 2 minutes, even if Mario could break the sound barrier he wouldn’t be able to average 60mph.

Posted in Brain Teasers

Pot

What does this represent?

Pot OOOOOOOO

Potatoes (Pot + 8 Os)

Posted in Brain Teasers
Tagged with

Weighty Wine

How much does a bottle of wine weigh if it is 1 kilogram plus half its own weight?

2 kg.

If we let half of the bottle’s weight be “n”, then we get the following equation: n/2 + 1kg = n (the bottle’s weight).

Solve for n:
n/2 + 1 = n
1 = n/2
2 = n

Posted in Brain Teasers

Spell Eighty

How can you spell eighty with only two letters?

A-T (pronounced eighty).

Posted in Brain Teasers