The formula for a sequence with first term = 1.7 and common difference 0.5 is: [tex]a_n = 1.2 + 0.5n[/tex]
Step-by-step explanation:
The first term and common difference are used to induce a formula for the arithmetic sequence
The explicit formula for a geometric sequence is:
[tex]a_n = a_1+(n-1)d[/tex]
Given
First term = a1 = 1.7
Common Difference = d = 0.5
putting the values in the formula
[tex]a_n = 1.7 + (n-1)(0.5)\\a_n = 1.7 + 0.5n-0.5\\a_n = 1.2 + 0.5n[/tex]
The formula for a sequence with first term = 1.7 and common difference 0.5 is: [tex]a_n = 1.2 + 0.5n[/tex]
Keywords: Arithmetic sequence, Common difference
Learn more about arithmetic sequence at:
- brainly.com/question/13218251
- brainly.com/question/13168205
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