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Algebra
Question

C. Solve the following. 1. Find three arithmetic m...

C. Solve the following. 1. Find three arithmetic means between \( 5 \) and \( 6 \) . 

\( a _ { 2 } a _ { 2 } \) b. \( a _ { 3 } \) c. \( a _ { 4 }\) 2. Find the value of \( p \) so that \( 7 p + 2,5 p + 12,2 p - 1 \) is an arithmetic sequence. Solution: 3. Find five arithmetic means of \( 4 \) and \( 40 \) . 

\( a _ { 2 } a _ { 2 } 10 \) b. \( a _ { 3 } 16 \) c. \( a _ { 4 } 22 \) d. \( a _ { 5 } 28 \) e. \( a _ { 6 } 34\) 4. Find the value of \( k \) so that \( k ^ { 2 } + k + 1 , k ^ { 2 } + 2 k - 1 , k ^ { 2 } + k + 4 \) will form an arithmetic sequence. Solution: 

Answer

1. a2 = 21/4    a3 = 11/2    a4 = 23/4

2.  p=-23

 

Solution
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