How can you use the arithmetic mean to find the missing terms in the arithmetic sequence 15, __, __, __, 47,. ?

asked May 11, 2024 25.5k views

3 votes

by Adya

8.4k points

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3 votes

Answer:

HI,

Explanation:

$u_1=15\\u_2=15+a\\u_3=15+2*a\\u_4=15+3*a\\u_5=15+4*a=47 \Longrightarrow\ a=(47-15)/(4) =8\\\\\boxed{u_6=15+5*a=15+5*8=55}\\$

$u_1=15\\u_2=15+8=23\\u_3=15+2*8=31\\u_4=15+3*8=39\\$

Zonko answered May 18, 2024

by Zonko

8.5k points

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