Arithmetic Prog...

In a zoo, there are $$210$$ visitors on first day, $$250$$ visitors on second day and $$290$$ visitors on third day, and so on in an arithmetic sequence. What is the total number of visitors on $$15^{th}$$ day?

There are $$200$$ students in IT department, $$210$$ students in Computer science department and $$220$$ students in Mechanic department in the college, and so on in an arithmetic sequence. What is the total number of students in $$8$$ departments?

There are $$100$$ students in science department, $$150$$ students in computer science department in a higher secondary school and so on in an arithmetic sequence. What is the total number of students in $$10$$ departments?

In a national treasure library, there are 10 visitors on first day, 50 visitors on second day and 90 visitors on third day, and so on in an arithmetic sequence. What is the total number of visitors on 5th day?

The first term of an A.P. is $$2$$ and ninth term is $$58$$. What is the common difference?

What is the sum of the first forty terms of the arithmetic sequence 120, 115, 110, 105....?

What is the sum of the first nineteenth terms of the arithmetic sequence 2, 6, 10, 14.....?

If the $$6^{th}$$ term and $$12^{th}$$ term of an A.P. are $$30$$ and $$75$$ respectively, find the sum of its $$20$$ terms.

Which of the term of the A.P. 11, 22, 33, 44.... is 550?

In an arithmetic series, $$a_1 = 7$$ and $$a_{12}=29$$. Find the sum of the first 12 terms.