Question

6. Which term of the A. P. 1.4. 7..... is 55 ?​

Answer 1

Answer:

19

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Answer 2

Answer:

$\boxed{\textbf{19th term is 55} }$

Step-by-step explanation:

$\text{Given AP series,} \\ 1,4,7,.... \\\\ \text{first term,a = 1} \\ \text{common difference,d = 4 - 1 = 7 - 4 = 3} \\ \text{nth term = 55} \\\\ \text{To find ;- n = ?} \\\\ \boxed{\bf n^{th} \ term \ of \ an \ AP ,a_n=a+(n-1)d} \\\\ 55 =1+(n-1)(3) \\ 55-1=(n-1)(3) \\ 54=3n-3 \\54+3=3n\\3n=57\\n=\frac{57}{3} \\\\ \boxed{\bf .'. \ n =19}$