The sum of the digits in the number 67 is 13 (as 6 + 7 = 13).

Question:

a. Show that the sum of the digits of the integers from 19 to 21 is 15.

b. Find the sum of the digits of the integers from 1 to 99.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

See More Books

Question Posted: Mar 10, 2023 05:52 AM

See More Questions

The sum of the digits in the number 56 is 11. (5 + 6 = 11) a. Show that the sum of the digits of the integers from 15 to 18 is 30. b. Find the sum of the digits of the integers from 1 to 100.
The sum of three digits a number is 17. The sum of square of the digits is 109. If we substract 495 from the number, the number is reversed. Find the number
Write a recursive method that will compute the sum of the digits in a positive number.
Acculturation is an extremely important topic in this age of globalization and multiculturalism; however, it remains an especially difficult topic to study. Peoples acculturation experiences vary...
Discuss the relative merits of including risk adjustments in cash flow or in discount ratesespecially for high-growth companies in emerging marketsand show how both approaches can be aligned.
An insurance company wants to design a control chart to monitor whether insurance claim forms are being completed correctly. The company intends to use the chart to see if improvements in the design...
Steam at $400^{\circ} \mathrm{F}, 70 \mathrm{psia}$, and $100 \mathrm{lb} / \mathrm{hr}$ is compressed to 200 psia. The electrical work is $4.1 \mathrm{~kW}$. Determine the: (a) Lost work (b)...
Suppose the real rate is 2.5 percent and the inflation rate is 4.7 percent. What rate would you expect to see on a treasury Bill?
Provide clinician education to encourage patients to use the program. If clinicians do not know what is available, it would be difficult for them to refer patients." Why do you think this is...
The unadjusted trial balance of Midway Inn Company at December 31, 2018, and the data needed for the adjustments follow. Adjustment data at December 31 follow: a. As of December 31, Midway Inn had...
The first term of a progression is 4x and the second term is x 2 . i. For the case where the progression is arithmetic with a common difference of 12, find the possible values of x and the...
The first term of an arithmetic progression is sin 2 x and the second term is 1. a. Write down an expression, in terms of sinx, for the fifth term of this progression. b. Show that the sum of the...
When anthracene is added to the reaction of chlorobenzene with concentrated NaOH at 350 C, an interesting Diels-Alder adduct of formula C20H14 results. The proton NMR spectrum of the product shows a...
Darcy's law states that v=ki. This simple law is generally valid for seepage in soils of particle size up to coarse sands only, why is this so? [4 marks] A natural residual soil has the grain size...
Is it now clear how a situation like the financial collapse in 2008 can lead to a horrible budget cycle that is hard to recover from?
Prepare statement of cashflow using direct method for Islam Ltd For the year ended 31/9/2018.
Scenario A: Talon borrows $6,500 from his Aunt Meredith. Meredith agrees to the loan only if Talon agrees to pay the loan back in monthly instalments of $300. 6 months into the loan, Talon receives a...
You throw a 10.0 kg pumpkin with a velocity of 1.00 m/s at your friend who is standing on a stationary skateboard. He catches the pumpkin and begins to roll away. The mass of your friend plus his...
Refer to the accompanying diagram depicting a competitive market. If the government imposes a price ceiling of P1, using the areas in the graph below, identify a) The most that consumers can gain...
Southwestern Punch was made by Frutayuda, Inc. and sold in 12-ounce cans to benefit victims of Hurricane Zero. The mean number of ounces placed in a can by an automatic fill pump is 11.7 with a...
The equation x 3 + 5x 7 = 0 has a root between 1 and 1.2. The iterative formula can be used to find the value of . a. Using a starting value of x 1 = 1.1, find and write down, correct to 4 decimal...
a. Express 5x 2 + x/(1 - x) 2 (1 - 3x) in partial fractions. b. Hence obtain the expansion of 5x 2 + x/(1 - x) 2 (1 - 3x) in ascending powers of x, up to and including the term in x 3 .
a. Express 7x - 1/(1 - x)(1 + 2x) in partial fractions. b. Hence obtain the expansion of 7x - 1/(1 - x)(1 + 2x) in ascending powers of x, up to and including the term in x 3 .
Highlight the difference between Java Virtual Machine and Dalvik Virtual Machine. Which one of the virtual machines is used in Android Studio to compile android apps?
Many things grow exponentially. The general formula for exponential growth is: g(t) = Ae", where A is the starting value, r is the rate of growth and t is time. Assume that A = 1, and r = 1.07 (a 7%...
On what interval(s) is f decreasing?

The sum of the digits in the number 67 is 13 (as 6 + 7 = 13).

Question:

Step by Step Answer:

a To show that the sum of ...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions