Question

Which term of the A.P sequence of 10, 8, 6,
is -28
1) 20
2) 5
3) 12
4) 32​

Answer 1

Answer:

20

hopefully it will be helpful

Answer 2

Answer:

${\large{\sf{\underline{Given}}}}$

Terms of AP are 10, 8, 6 ...

${\large{\sf{\underline{To \: Find}}}}$

Which term of AP is -28?

${\large{\sf{\underline{Solution}}}}$

• Let us use a formula an for finding that last. let's start our solution.

${\underline{ \sf{★ \: From \: Question,}}}$

• an = -28

• a = 10

• d = -2

${\underline{ \sf{★ \: Formula\: used,}}}$

${ \boxed{ \boxed{ \sf{ a_{n} = a + (n - 1)d }}}}$

${\underline{ \sf{★ \: By\: Solving,}}}$

${\dashrightarrow{\sf{ - 28 = 10 + (n - 1) - 2}}} \\ \\ \\ {\dashrightarrow{\sf{ - 28 = 10 - 2n + 2}}} \\ \\ \\ {\dashrightarrow{\sf{ - 28 = 12 - 2n}}} \\ \\ \\ {\dashrightarrow{\sf{2n =28 + 12}}} \\ \\ \\ \:{\dashrightarrow{\sf{2n = 40}}} \\ \\ \\{\dashrightarrow{\sf{n = 20}}} \\ \\ \\ \: \: \: \: { \boxed{ \boxed{ \therefore{ \sf{ \pink{20th \: term \: of \: AP \: is -28}}}}}}$

Explanation;

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