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xz_007 [3.2K]
3 years ago
11

18, 26, 34, 42, find the 52nd term and the explicit formula

Mathematics
1 answer:
daser333 [38]3 years ago
3 0
We have 26 - 18 = 8; 34 - 26 = 8; 42 - 34 = 8; (an arithmetic progression)
We use the formula an = a1 + (n-1)x8 (the explicit formula)
So, an = 18 + (n-1)x8 ;
Then, an = 8n + 10;
Finally, a52 =  8x52 + 10 = 426 (the 52nd term);


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Over [174]

Answer:

n = 11

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Equality Properties
  • Vertical Angles: Angles that are across from each other and are congruent

Step-by-step explanation:

<u>Step 1: Set up equation</u>

<em>Vertical angles must be congruent.</em>

(6n - 4)° = (5n + 7)°

<u>Step 2: Solve for </u><em><u>n</u></em>

  1. Subtract 5n on both sides:                    n - 4 = 7
  2. Add 4 to both sides:                               n = 11
8 0
3 years ago
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