How many term of the ap -10,-8...must be taken to get the sum of 26

13

Step-by-step explanation:

The sum to n terms of an AP is

= [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here = 26, a₁ = - 10 and d = - 8 - (- 10) = - 8 + 10 = 2 , thus

[ (2 × - 10) + 2(n - 1) ] = 26 ( multiply both sides by 2 )

n(- 20 + 2n - 2) = 52

n(- 22 + 2n) = 52

- 22n + 2n² = 52 ( subtract 52 from both sides )

2n² - 22n - 52 = 0 ( divide through by 2 )

n² - 11n - 26 = 0 ← in standard form

(n - 13)(n + 2) = 0 ← in factored form

Equate each factor to zero and solve for n

n - 13 = 0 ⇒ n = 13

n + 2 = 0 ⇒ n = - 2

However, n > 0 , thus number of terms is 13

pla·gia·rism

/ˈplājəˌrizəm/

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noun

the practice of taking someone else's work or ideas and passing them off as one's own.

step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.