Able Able

Able starts off counting at 13 , 13, and counts by 7. 7. What is the 1 1 th 11^\text{th} number that Able will say?


Details and Assumptions:

  • The first number that Able says is 13. 13.


The answer is 83.

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14 solutions

He counts from 13.

It means 13 is the 1st number he says.

So, he has to say 10 more numbers.

He adds 7 in each.

So, 10 X 7 = 70

Now, add 70 to 13.

70 + 13=

                                  83

Ooooh! I thought 20 was the 1 st number he says! My bad!

Collins Kariuki - 6 months ago
Adarsh Rajput
Nov 3, 2013

a=13, d=7 we have to find the 11th term of this AP. a11=a+(n-1)d. Using this we get a11=83

isn't this the same as 13+7(10)=83 ? hahaha i saw your solution and thought there must be something easier... am i right?

Dan Arenas - 7 years, 7 months ago
Sakshi Jain
Nov 5, 2013

He starts counting by 13 and conts by 7 So, 13+7=20 20+7=34 34+7=41 41+7=48 48+7=55 55+7=62 62+7=69 69+7=76 76+7=83 83, is the 11th no.

Your first attempt to writing a solution, voted you up!

Akshat Jain - 7 years, 7 months ago

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Thanks for being supportive!

Calvin Lin Staff - 7 years, 7 months ago

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As a member of the Brilliant community, it's my duty, sir! :)

Akshat Jain - 7 years, 7 months ago

20+7=34?

Rowen Cerillo - 7 years, 7 months ago
Charlie Marom
Mar 30, 2018

13 is the first number, and 7 X 10 = 70, and 13+70= 85

Rj Esteban
Apr 3, 2015

1st : 13 next 10 increment by 7 : 7x10 = 70 11th = 13+70 = 83

Aashish Patel
Apr 19, 2014

The first term in the series is 13.We should count by 7.So the numbers in the series are-

First=13

Second=20

Third=27

And after tenth term the eleventh term is 83.We can do this by the following equation.13+7*{11-1].

Anzar Aznzar
Mar 30, 2014

13 + ( 7 * (11-1) ) = 83

Vương Vũ
Nov 10, 2013

It's very simple with 10 number apart 7 is 7 . 10 = 70, and then we have 70 + 13 = 83. 13 is the first number => 83 is 11th number

Yusra Ansari
Nov 9, 2013

13+(7*10) =83

Urfi Rihhadatula
Nov 8, 2013

Un = a + (n-1)b

U11 = 13 + (11-1) 7

U11 = 13 + 70

U11 = 83

Darshan Lal
Nov 5, 2013

Able started counting and it became as under 13, 20, 27 ............ and it is an arithmetic progression so
its 11th can be determined as 11th term =13+(11-1)(7)=13+10(7)=13+70= 83

good

Noman Ijaz Warraich - 7 years, 7 months ago
Muhammad Hasan
Nov 4, 2013

Able will Count 13, 20 , 27 , .... for this you can use this formula : Un = a + (n-1)b . 1. n = the number that you searching for 2. a is the first number that has been counted by Able, so a = the first number from a data 3. b is the difference between the second data and the first data, Example : 2,4,6,8. the b is -> 4 -2 = 2 or 6 - 4 = 2 or 8 - 6 = 2. For more questions about this formula just ask me, or maybe you can search the internet. Answer a = 13 n = 11 b = 7 Answer : 13 + ( 11 - 1 ) \times 7 = 13 + 10 \times 7 = 13 + 70 = 83

The numbers Able says forms an A.P. : 13, 20, 27, ...

We need what is the 11th number in the sequence. Here, a = 13 , d = 7 , n = 11 a=13, d=7, n=11 . So, a 11 = 13 + 10 × 7 = 13 + 70 = 83 a_{11}=13+10\times7 = 13+70 = \boxed{83}

Gaurang Pansare
Nov 3, 2013

The 1st number is 13. So the 11th number would be 13 + 7 ( 11 1 ) = 83 13+7*(11-1) = \boxed{83}

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