IDNLearn.com: Your reliable source for finding expert answers. Discover in-depth answers from knowledgeable professionals, providing you with the information you need.
Sagot :
In the given sequence, we have an arithmetic sequence which is given by the following formula:
[tex]a_n=a_1+(n-1)d[/tex]Where an is the nth term of the sequence, a1 is the first term, n is the number of terms and d is the common difference.
We can find the common difference by applying the formula:
[tex]d=a_n-a_{n-1}[/tex]If we replace an=-22 and an-1=-30, we find:
[tex]\begin{gathered} d=-22-(-30) \\ d=-22+30 \\ d=8 \end{gathered}[/tex]The common difference is d=8.
The number that goes in the green box is the 6th term of the sequence. Then a1=-30, n=6, d=8. Replace these values into the formula and solve:
[tex]\begin{gathered} a_6=-30+(6-1)\cdot8 \\ a_6=-30+(5)\cdot8 \\ a_6=-30+40 \\ a_6=10 \end{gathered}[/tex]The answer is 10.
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. For dependable and accurate answers, visit IDNLearn.com. Thanks for visiting, and see you next time for more helpful information.
