Question

the first term of an arithmetic sequence is 1 and the fifteenth term is 14/3, find the common difference and the sum of first fifteen term​

Answer 1

Answer:

Hey !

Step-by-step explanation:

An arithmetic sequence involves addition; therefore, one can use algebra to write an expression. The 9th term minus the 3rd term expresses the sum between them for six terms. Since the ninth term is -1 and the third term is 14: 6x=-15, x=-15/6. Starting from the third term and going backwards, the second term is 14+15/6=16+1/2, the first term is 14+30/6=19. Going forward, the fourth term is 14–15/6=11+1/2.