The common difference of an arithmetic progression can be determined by given the first term and a subsequent term. In this case, the first term is 10 and the secondterm is four times the fifth term. To calculate the common difference, we must utilize the formula d = (a₂ – a₁) / (n₂ – n₁), where “a” is any two terms of the sequence and “n” are their respective positions in said sequence. Using this formula, we find that d = 40/4 = 10.
We can now use this value to determine the sum ofthefirst 12 terms usingtheformula Sᵣ = n⁄₂(2a + (n – 1)d). Plugging our values into this equation gives us S12=12/2(20+11*10)=780. Therefore, we conclude that when an arithmetic progression has a first term equal to 10 and its secondtermfourtimesthefifthterm,thencommon differenceis10andthesumofthefirst12terms equals 780.
These results should be kept in mind when considering various problems related tothis topic as they help provide general insight into how certain equations work solving them efficiently with minimal effort required complete task at hand! Furthermore understanding relationship between input variables output also key factor achieving maximum accuracy desired outcome order guarantee all objectives have been met expectations exceeded beyond initial scope work involved….
Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.
You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.Read more
Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.Read more
Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.Read more
Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.Read more
By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.Read more