Question

A student wants to know how can she prove that a sequence whose nth term is on 4 is arithmetic and a sequence whose nth term is 5.3 is geometric. How do you respond? How can she prove that a sequence whose nth term is 5n+ 4 is arithmetic? and a, - The expression 5n+ 4 can be rewritten as which has the form a, + (n-1)d. Thus, it is an arithmetic sequence with d= (Type exact answers, using radicals as needed)

Answer 1

a Sequence whose with term is a shtu ana shty au 5:1+4 2 9 92-5-2 +4 14 93= 5:3 74519 १५ - ६.५ +५ - 4 do sega is 914 19424- this is an A.P. (Arithmetic Progression) in which first term? a 29 - o da al-Q1 = 14.9=5 aus au a Shtu a shtu which has the gritaretic sequeace aut Child 9 + Ch.1) 5 9 + challs can be written force 914 Claudia with d = 15 & as q+ch-15 this is 9- 9- Sequence whose nth term is 5.3" ans 5.3 ana 5.312 a 922 5.3/2 = 93% 5.3 /2 ana 5.3912 a 553 5.3 a 15 5.3.03 5.3²= 45

-- کار3ایہ کارولین عباfer .9 - - ارد) گردی را یہی ہے کایہ 3. 3کرولیک ( -: --گری) 3بكر 3 . 3 this 912 is 503 an Gil whose first & COMMON ratio : ay terry 2 2ر3 SKY 03 ی 3 & ana geghal - "32 وكيد طه در ولی ارد - so which s.3% has the can form be written as 503 6032h-1 aight,