Mathematics: The second term of an arithmetic sequence is 13 and the fourth term is 7. What is the thirteenth term?

The second term of an arithmetic sequence is 13

Ответ:

baptistatm51976

04.02.2022

$\bold{a_{13}=52}$

Step-by-step explanation:

$d=a_4-a_3=a_3-a_2\\\\a_3-a_2=a_4-a_3\\\\2a_3=a_2+a_4\\\\2a_3=13+7\\\\2a_3=20\\\\a_3=10\\\\d=10-13=-3\\\\\\a_2=a_1+d\quad\implies\quad a_1=a_2-d=13-(-3)=16\\\\a_n=a_1+d(n-1)\\\\a_{13}=16+(-3)(13-1)=16+36=52$

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Ответ:

cduke1919

27.05.2023

Mathematics

$\implies {\blue {\boxed {\boxed {\purple {\sf { (5x + 6y)(5x - 6y) }}}}}}$

$\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}$

$={25x}^{2} - 36 {y}^{2}$

$= ({5 \times 5)x}^{2} - (6 \times 6){y}^{2}$

$= ({5x})^{2} -( {6y})^{2}$

= (5x + 6y)(5x - 6y)

Note:

${a}^{2} - {b}^{2} = (a + b)(a - b)$

$\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}$

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The second term of an arithmetic sequence is 13 and the fourth term is 7. What is the thirteenth term?

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