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The arithmetic series is given by (k+1)+(2k+3)+(3k+5)+...+303. a)Find the number of term in the series in terms of k. b) Show that the sum of the series is given by (152k+46208)/(k+2). c)Given that S=2568, find k.

a) I would start by trying to see if the student can do it by himself. In the case the student does not know how to start, I would start by asking him if can find the general term. Here there are two ways...

Answered by Bogdan P. • Maths tutor

9061 Views

what is an important difference between Italian and Engish languages in the use of adjectives?

in English, adjectives always remain the same, independently from who are they referred to. In Italian they change based on the genre of the object or person they are referred to. for example if I wan to ...

Answered by Arianna B. • Italian tutor

1569 Views

Do I need to use a subjunctive in this sentence? "I want you to listen to this song."

When there is a change of subject in a sentence, a subjunctive is required in Spanish. For example: I want you to... / we need you to... / you would like me to...In Spanish, we would say something like &q...

Answered by Matty O. • Spanish tutor

1752 Views

Explore how Shakespeare treats the theme of identity in Othello. You must relate your discussion to relevant contextual factors and ideas from your critical reading.

Othello's identity is shown strongly through his race. In the Jacobean era, it was believed that "too many [had] entered the realm". As a result, racism was rampant in the world. Shakespeare pre...

Answered by Charley L. • English Literature tutor

31714 Views

Show that the curve with equation y=x^2-6x+9 and the line with equation y=-x do not intersect.

First, you equate the 2 equations to get this single quadratic equation (x^2-5x+9=0). And then evaluate the expression b^2-4ac. If b^2 -4ac is < 0 then they do not intersect. In our case b^2 -4ac is -9...

Answered by Foday K. • Maths tutor

3963 Views