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DE^2 = 1 + 16 = 17.
<span>EF^2 = 16 + 1 = 17. </span>
<span>DF^2 = 9 + 25 = 34. </span>
<span>Since (DE)^2 + (EF)^2 = (DF)^2,
</span><span> angle E is 90 degrees.
</span><span> DF must be the hypotenuse
</span>see attachment below
<span>EF^2 = 16 + 1 = 17. </span>
<span>DF^2 = 9 + 25 = 34. </span>
<span>Since (DE)^2 + (EF)^2 = (DF)^2,
</span><span> angle E is 90 degrees.
</span><span> DF must be the hypotenuse
</span>see attachment below
Given:
The sum of the first three terms of a sequence Is 42.
The fourth term is 24.
To find:
The u₁ and the common difference
Step-by-step explanation:
nth term of a sequence is
where, u₁ is first term and d is common difference.
4th term is 24.
...(i)
Sum of nth term of an AP is
Sum of first three terms is 42.
Divide both sides by 3.
...(ii)
On subtract (ii) from (i), we get
Put d=5 in equation (ii).
Therefore, the first term is and common difference is
.