Answer:
[tex]\Huge \boxed{\boxed{\textbf{45}}}[/tex]
Step-by-step explanation:
Given:
Sequence series
To find:
The next preceding term
Solution:
Step 1: Let's analyse the terms by substracting the following term by the previous term, e.g a_2 - a_1, a_3 - a_2.
→ a_2 - a_1 = 21 - 12 = 9
→ a_3 - a_2 = 23 - 21 = 2
→ a_4 - a_3 = 32 - 23 = 9
→ a_5 - a_4 = 34 - 32 = 2
→ a_6 - a_5 = 43 - 34 = 9
After analysing we noticed it's an arithmetic sequence with preceding adding terms of 9,2,9,2....
Step 2: So it's noticed after analysing that the last additional term was 9 so the next is mean't to be "2"
→ 43 + 2 = 45 (Matches - Option A)
Learn more about Arithmetic Sequence at https://brainly.com/question/28369191
